87620400 has 480 divisors, whose sum is σ = 381324800. Its totient is φ = 18662400.

The previous prime is 87620399. The next prime is 87620417. The reversal of 87620400 is 402678.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436370 + ... + 1436430.

Almost surely, 2^87620400 is an apocalyptic number.

87620400 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 87620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190662400).

87620400 is an abundant number, since it is smaller than the sum of its proper divisors (293704400).

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

87620400 is a wasteful number, since it uses less digits than its factorization.

87620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87620400 is about 9360.5769052981. The cubic root of 87620400 is about 444.1555335306.

The spelling of 87620400 in words is "eighty-seven million, six hundred twenty thousand, four hundred".