87904144 has 40 divisors (see below), whose sum is σ = 181783008. Its totient is φ = 41034240.

The previous prime is 87904109. The next prime is 87904163. The reversal of 87904144 is 44140978.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34399 + ... + 36865.

Almost surely, 2^87904144 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 87904144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90891504).

87904144 is an abundant number, since it is smaller than the sum of its proper divisors (93878864).

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

87904144 is a wasteful number, since it uses less digits than its factorization.

87904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 87904144 is about 9375.7209856096. The cubic root of 87904144 is about 444.6344580481.

The spelling of 87904144 in words is "eighty-seven million, nine hundred four thousand, one hundred forty-four".