87087436632 has 512 divisors, whose sum is σ = 292571136000. Its totient is φ = 23488496640.

The previous prime is 87087436627. The next prime is 87087436633. The reversal of 87087436632 is 23663478078.

87087436632 is a `hidden beast` number, since 8 + 70 + 87 + 436 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87087436633) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280023757 + ... + 280024067.

It is an arithmetic number, because the mean of its divisors is an integer number (571428000).

Almost surely, 2^87087436632 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 87087436632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146285568000).

87087436632 is an abundant number, since it is smaller than the sum of its proper divisors (205483699368).

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

87087436632 is a wasteful number, since it uses less digits than its factorization.

87087436632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 87087436632 in words is "eighty-seven billion, eighty-seven million, four hundred thirty-six thousand, six hundred thirty-two".