87600087432 has 192 divisors, whose sum is σ = 287719810560. Its totient is φ = 23712998400.

The previous prime is 87600087403. The next prime is 87600087433. The reversal of 87600087432 is 23478000678.

It is a happy number.

87600087432 is a `hidden beast` number, since 8 + 7 + 600 + 0 + 8 + 7 + 4 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (87600087433) 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, 181948 + ... + 456404.

It is an arithmetic number, because the mean of its divisors is an integer number (1498540680).

Almost surely, 2^87600087432 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 87600087432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143859905280).

87600087432 is an abundant number, since it is smaller than the sum of its proper divisors (200119723128).

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

87600087432 is a wasteful number, since it uses less digits than its factorization.

87600087432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274524 (or 274517 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87600087432 in words is "eighty-seven billion, six hundred million, eighty-seven thousand, four hundred thirty-two".