87645564 has 60 divisors (see below), whose sum is σ = 230716024. Its totient is φ = 29012256.

The previous prime is 87645559. The next prime is 87645601. The reversal of 87645564 is 46554678.

87645564 is a `hidden beast` number, since 87 + 6 + 4 + 5 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50007 + ... + 51729.

Almost surely, 2^87645564 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 87645564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115358012).

87645564 is an abundant number, since it is smaller than the sum of its proper divisors (143070460).

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

87645564 is a wasteful number, since it uses less digits than its factorization.

87645564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1885 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 87645564 is about 9361.9209567268. The cubic root of 87645564 is about 444.1980489724.

It can be divided in two parts, 87645 and 564, that added together give a square (88209 = 297²).

The spelling of 87645564 in words is "eighty-seven million, six hundred forty-five thousand, five hundred sixty-four".