87613632 has 84 divisors (see below), whose sum is σ = 257978656. Its totient is φ = 28408320.

The previous prime is 87613619. The next prime is 87613637. The reversal of 87613632 is 23631678.

It is a happy number.

87613632 is a `hidden beast` number, since 8 + 7 + 6 + 13 + 632 = 666.

It is a super-2 number, since 2×87613632² = 15352297024462848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87613637) 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, 19257 + ... + 23367.

Almost surely, 2^87613632 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 87613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128989328).

87613632 is an abundant number, since it is smaller than the sum of its proper divisors (170365024).

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

87613632 is a wasteful number, since it uses less digits than its factorization.

87613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4153 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 87613632 is about 9360.2153821373. The cubic root of 87613632 is about 444.1440973732.

The spelling of 87613632 in words is "eighty-seven million, six hundred thirteen thousand, six hundred thirty-two".