87594400 has 72 divisors (see below), whose sum is σ = 215236224. Its totient is φ = 34809600.

The previous prime is 87594383. The next prime is 87594431. The reversal of 87594400 is 449578.

It is a super-2 number, since 2×87594400² = 15345557822720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87594400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178155 + ... + 178645.

It is an arithmetic number, because the mean of its divisors is an integer number (2989392).

Almost surely, 2^87594400 is an apocalyptic number.

87594400 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 87594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107618112).

87594400 is an abundant number, since it is smaller than the sum of its proper divisors (127641824).

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

87594400 is a wasteful number, since it uses less digits than its factorization.

87594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 87594400 is about 9359.1879989666. The cubic root of 87594400 is about 444.1115970870. Note that the first 3 decimals are identical.

The spelling of 87594400 in words is "eighty-seven million, five hundred ninety-four thousand, four hundred".