87921960 has 256 divisors, whose sum is σ = 328458240. Its totient is φ = 18370560.

The previous prime is 87921959. The next prime is 87921979. The reversal of 87921960 is 6912978.

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

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, 671095 + ... + 671225.

It is an arithmetic number, because the mean of its divisors is an integer number (1283040).

Almost surely, 2^87921960 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 87921960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

87921960 is an abundant number, since it is smaller than the sum of its proper divisors (240536280).

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

87921960 is a wasteful number, since it uses less digits than its factorization.

87921960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

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

The square root of 87921960 is about 9376.6710510714. The cubic root of 87921960 is about 444.6644948284.

The spelling of 87921960 in words is "eighty-seven million, nine hundred twenty-one thousand, nine hundred sixty".