61049700 has 90 divisors (see below), whose sum is σ = 197925266. Its totient is φ = 16277760.

The previous prime is 61049657. The next prime is 61049731. The reversal of 61049700 is 794016.

61049700 is a `hidden beast` number, since 610 + 49 + 7 + 0 + 0 = 666.

61049700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2802276 + 58247424 = 1674^2 + 7632^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 4332 + ... + 11868.

Almost surely, 2^61049700 is an apocalyptic number.

61049700 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 61049700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98962633).

61049700 is an abundant number, since it is smaller than the sum of its proper divisors (136875566).

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

61049700 is a wasteful number, since it uses less digits than its factorization.

61049700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61049700 is about 7813.4307445577. The cubic root of 61049700 is about 393.7565985289.

The spelling of 61049700 in words is "sixty-one million, forty-nine thousand, seven hundred".