87397632 has 108 divisors (see below), whose sum is σ = 288040480. Its totient is φ = 24966144.

The previous prime is 87397591. The next prime is 87397633. The reversal of 87397632 is 23679378.

It is a happy number.

87397632 is a `hidden beast` number, since 8 + 7 + 3 + 9 + 7 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87397633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13419 + ... + 18837.

Almost surely, 2^87397632 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 87397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144020240).

87397632 is an abundant number, since it is smaller than the sum of its proper divisors (200642848).

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

87397632 is a wasteful number, since it uses less digits than its factorization.

87397632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5431 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 87397632 is about 9348.6700658436. The cubic root of 87397632 is about 443.7788038699.

The spelling of 87397632 in words is "eighty-seven million, three hundred ninety-seven thousand, six hundred thirty-two".