87057432 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 22003200.

The previous prime is 87057419. The next prime is 87057433. The reversal of 87057432 is 23475078.

87057432 is a `hidden beast` number, since 87 + 0 + 574 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87057433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227113 + ... + 227495.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^87057432 is an apocalyptic number.

87057432 is a gapful number since it is divisible by the number (82) 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 87057432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

87057432 is an abundant number, since it is smaller than the sum of its proper divisors (214858728).

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

87057432 is a wasteful number, since it uses less digits than its factorization.

87057432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 87057432 is about 9330.4572235234. The cubic root of 87057432 is about 443.2022441423.

The spelling of 87057432 in words is "eighty-seven million, fifty-seven thousand, four hundred thirty-two".