61884240 has 120 divisors (see below), whose sum is σ = 210965664. Its totient is φ = 14995200.

The previous prime is 61884227. The next prime is 61884241. The reversal of 61884240 is 4248816.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61884241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27975 + ... + 30105.

Almost surely, 2^61884240 is an apocalyptic number.

61884240 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 61884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105482832).

61884240 is an abundant number, since it is smaller than the sum of its proper divisors (149081424).

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

61884240 is a wasteful number, since it uses less digits than its factorization.

61884240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 61884240 is about 7866.6536723057. The cubic root of 61884240 is about 395.5426819490.

The spelling of 61884240 in words is "sixty-one million, eight hundred eighty-four thousand, two hundred forty".