87921408 has 72 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 29123584.

The previous prime is 87921397. The next prime is 87921451. The reversal of 87921408 is 80412978.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183313 + ... + 183791.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2^87921408 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 87921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734400).

87921408 is an abundant number, since it is smaller than the sum of its proper divisors (147547392).

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

87921408 is a wasteful number, since it uses less digits than its factorization.

87921408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 87921408 is about 9376.6416162718. The cubic root of 87921408 is about 444.6635642482.

The spelling of 87921408 in words is "eighty-seven million, nine hundred twenty-one thousand, four hundred eight".