87188400 has 420 divisors, whose sum is σ = 352925328. Its totient is φ = 20528640.

The previous prime is 87188389. The next prime is 87188401. The reversal of 87188400 is 488178.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87188401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3790789 + ... + 3790811.

Almost surely, 2^87188400 is an apocalyptic number.

87188400 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 87188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176462664).

87188400 is an abundant number, since it is smaller than the sum of its proper divisors (265736928).

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

87188400 is a wasteful number, since it uses less digits than its factorization.

87188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

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

The square root of 87188400 is about 9337.4728915269. The cubic root of 87188400 is about 443.4243819003.

The spelling of 87188400 in words is "eighty-seven million, one hundred eighty-eight thousand, four hundred".