87238400 has 108 divisors (see below), whose sum is σ = 221647272. Its totient is φ = 33976320.

The previous prime is 87238399. The next prime is 87238451. The reversal of 87238400 is 483278.

It is a super-2 number, since 2×87238400² = 15221076869120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275042 + ... + 275358.

Almost surely, 2^87238400 is an apocalyptic number.

87238400 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 87238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110823636).

87238400 is an abundant number, since it is smaller than the sum of its proper divisors (134408872).

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

87238400 is a wasteful number, since it uses less digits than its factorization.

87238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 87238400 is about 9340.1498917309. The cubic root of 87238400 is about 443.5091293448.

The spelling of 87238400 in words is "eighty-seven million, two hundred thirty-eight thousand, four hundred".