87925920 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 21427200.

The previous prime is 87925919. The next prime is 87925931. The reversal of 87925920 is 2952978.

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, 282565 + ... + 282875.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^87925920 is an apocalyptic number.

87925920 is a gapful number since it is divisible by the number (80) 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 87925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

87925920 is an abundant number, since it is smaller than the sum of its proper divisors (213990240).

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

87925920 is a wasteful number, since it uses less digits than its factorization.

87925920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 87925920 is about 9376.8822110550. The cubic root of 87925920 is about 444.6711706159.

The spelling of 87925920 in words is "eighty-seven million, nine hundred twenty-five thousand, nine hundred twenty".