87910944 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 24350720.

The previous prime is 87910939. The next prime is 87910951. The reversal of 87910944 is 44901978.

It is a super-2 number, since 2×87910944² = 15456668149942272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87910896 and 87910905.

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, 1059127 + ... + 1059209.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^87910944 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 87910944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

87910944 is an abundant number, since it is smaller than the sum of its proper divisors (186426336).

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

87910944 is a wasteful number, since it uses less digits than its factorization.

87910944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 87910944 is about 9376.0836173746. The cubic root of 87910944 is about 444.6459229469.

The spelling of 87910944 in words is "eighty-seven million, nine hundred ten thousand, nine hundred forty-four".