87400512 has 112 divisors (see below), whose sum is σ = 264078720. Its totient is φ = 28325376.

The previous prime is 87400507. The next prime is 87400531. The reversal of 87400512 is 21500478.

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 15 ways as a sum of consecutive naturals, for example, 63253 + ... + 64619.

Almost surely, 2^87400512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132039360).

87400512 is an abundant number, since it is smaller than the sum of its proper divisors (176678208).

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

87400512 is a wasteful number, since it uses less digits than its factorization.

87400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 87400512 is about 9348.8240971793. The cubic root of 87400512 is about 443.7836784067.

The spelling of 87400512 in words is "eighty-seven million, four hundred thousand, five hundred twelve".