87916800 has 216 divisors, whose sum is σ = 306681760. Its totient is φ = 22118400.

The previous prime is 87916769. The next prime is 87916813. The reversal of 87916800 is 861978.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364680 + ... + 364920.

Almost surely, 2^87916800 is an apocalyptic number.

87916800 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 87916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153340880).

87916800 is an abundant number, since it is smaller than the sum of its proper divisors (218764960).

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

87916800 is a wasteful number, since it uses less digits than its factorization.

87916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 87916800 is about 9376.3958960786. The cubic root of 87916800 is about 444.6557957742.

The spelling of 87916800 in words is "eighty-seven million, nine hundred sixteen thousand, eight hundred".