87633612 has 72 divisors (see below), whose sum is σ = 248229072. Its totient is φ = 25833600.

The previous prime is 87633607. The next prime is 87633631. The reversal of 87633612 is 21633678.

It is a happy number.

87633612 is a `hidden beast` number, since 8 + 7 + 6 + 33 + 612 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11662 + ... + 17642.

It is an arithmetic number, because the mean of its divisors is an integer number (3447626).

Almost surely, 2^87633612 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 87633612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124114536).

87633612 is an abundant number, since it is smaller than the sum of its proper divisors (160595460).

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

87633612 is a wasteful number, since it uses less digits than its factorization.

87633612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6034 counting only the distinct ones).

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

The square root of 87633612 is about 9361.2826044298. The cubic root of 87633612 is about 444.1778566729.

The spelling of 87633612 in words is "eighty-seven million, six hundred thirty-three thousand, six hundred twelve".