87850764 has 96 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 27060480.

The previous prime is 87850759. The next prime is 87850787. The reversal of 87850764 is 46705878.

87850764 is a `hidden beast` number, since 87 + 8 + 507 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107919 + ... + 108729.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2^87850764 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 87850764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

87850764 is an abundant number, since it is smaller than the sum of its proper divisors (157698036).

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

87850764 is a wasteful number, since it uses less digits than its factorization.

87850764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87850764 is about 9372.8738389034. The cubic root of 87850764 is about 444.5444380475.

The spelling of 87850764 in words is "eighty-seven million, eight hundred fifty thousand, seven hundred sixty-four".