87854832 has 120 divisors (see below), whose sum is σ = 268920288. Its totient is φ = 26611200.

The previous prime is 87854831. The next prime is 87854857. The reversal of 87854832 is 23845878.

87854832 is a `hidden beast` number, since 8 + 78 + 548 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87854831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132582 + ... + 133242.

Almost surely, 2^87854832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87854832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134460144).

87854832 is an abundant number, since it is smaller than the sum of its proper divisors (181065456).

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

87854832 is a wasteful number, since it uses less digits than its factorization.

87854832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87854832 is about 9373.0908456069. The cubic root of 87854832 is about 444.5512996037.

The spelling of 87854832 in words is "eighty-seven million, eight hundred fifty-four thousand, eight hundred thirty-two".