87013632 has 72 divisors (see below), whose sum is σ = 233555616. Its totient is φ = 28758016.

The previous prime is 87013607. The next prime is 87013643. The reversal of 87013632 is 23631078.

It is a self number, because there is not a number n which added to its sum of digits gives 87013632.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104803 + ... + 105629.

It is an arithmetic number, because the mean of its divisors is an integer number (3243828).

Almost surely, 2^87013632 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 87013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116777808).

87013632 is an abundant number, since it is smaller than the sum of its proper divisors (146541984).

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

87013632 is a wasteful number, since it uses less digits than its factorization.

87013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 87013632 is about 9328.1097763695. The cubic root of 87013632 is about 443.1279042715.

The spelling of 87013632 in words is "eighty-seven million, thirteen thousand, six hundred thirty-two".