61942500 has 90 divisors (see below), whose sum is σ = 195729534. Its totient is φ = 16512000.

The previous prime is 61942499. The next prime is 61942501. The reversal of 61942500 is 524916.

61942500 is a `hidden beast` number, since 619 + 42 + 5 + 0 + 0 = 666.

61942500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61942499) and next prime (61942501).

It can be written as a sum of positive squares in 5 ways, for example, as 10188864 + 51753636 = 3192^2 + 7194^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61942501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21124 + ... + 23876.

Almost surely, 2^61942500 is an apocalyptic number.

61942500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61942500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97864767).

61942500 is an abundant number, since it is smaller than the sum of its proper divisors (133787034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61942500 is a wasteful number, since it uses less digits than its factorization.

61942500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61942500 is about 7870.3557734069. The cubic root of 61942500 is about 395.6667689479. Note that the first 3 decimals are identical.

The spelling of 61942500 in words is "sixty-one million, nine hundred forty-two thousand, five hundred".