87804864 has 336 divisors, whose sum is σ = 323148960. Its totient is φ = 23224320.

The previous prime is 87804859. The next prime is 87804889. The reversal of 87804864 is 46840878.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439394 + ... + 1439454.

Almost surely, 2^87804864 is an apocalyptic number.

87804864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

87804864 is an abundant number, since it is smaller than the sum of its proper divisors (235344096).

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

87804864 is a wasteful number, since it uses less digits than its factorization.

87804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 87804864 is about 9370.4249636823. The cubic root of 87804864 is about 444.4670031513.

The spelling of 87804864 in words is "eighty-seven million, eight hundred four thousand, eight hundred sixty-four".