87564420 has 72 divisors (see below), whose sum is σ = 268247616. Its totient is φ = 23118912.

The previous prime is 87564403. The next prime is 87564439. The reversal of 87564420 is 2446578.

87564420 is a `hidden beast` number, since 8 + 7 + 5 + 644 + 2 + 0 = 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, 16179 + ... + 20901.

Almost surely, 2^87564420 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 87564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134123808).

87564420 is an abundant number, since it is smaller than the sum of its proper divisors (180683196).

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

87564420 is a wasteful number, since it uses less digits than its factorization.

87564420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 87564420 is about 9357.5862272276. The cubic root of 87564420 is about 444.0609241940.

The spelling of 87564420 in words is "eighty-seven million, five hundred sixty-four thousand, four hundred twenty".