87818400 has 108 divisors (see below), whose sum is σ = 309695022. Its totient is φ = 23416320.

The previous prime is 87818377. The next prime is 87818417. The reversal of 87818400 is 481878.

It can be written as a sum of positive squares in 3 ways, for example, as 72795024 + 15023376 = 8532^2 + 3876^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1102 + ... + 13298.

Almost surely, 2^87818400 is an apocalyptic number.

87818400 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 87818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154847511).

87818400 is an abundant number, since it is smaller than the sum of its proper divisors (221876622).

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

87818400 is a wasteful number, since it uses less digits than its factorization.

87818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12223 (or 12207 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87818400 is about 9371.1472083198. The cubic root of 87818400 is about 444.4898416591.

The spelling of 87818400 in words is "eighty-seven million, eight hundred eighteen thousand, four hundred".