87916920 has 256 divisors, whose sum is σ = 331914240. Its totient is φ = 18137088.

The previous prime is 87916919. The next prime is 87916937. The reversal of 87916920 is 2961978.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 906312 + ... + 906408.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 2^87916920 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 87916920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

87916920 is an abundant number, since it is smaller than the sum of its proper divisors (243997320).

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

87916920 is a wasteful number, since it uses less digits than its factorization.

87916920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 87916920 is about 9376.4022951236. The cubic root of 87916920 is about 444.6559980817.

The spelling of 87916920 in words is "eighty-seven million, nine hundred sixteen thousand, nine hundred twenty".