87388800 has 96 divisors (see below), whose sum is σ = 287868480. Its totient is φ = 23301120.

The previous prime is 87388787. The next prime is 87388801. The reversal of 87388800 is 888378.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (87388801) by changing a digit.

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, 5049 + ... + 14151.

It is an arithmetic number, because the mean of its divisors is an integer number (2998630).

Almost surely, 2^87388800 is an apocalyptic number.

87388800 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 87388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143934240).

87388800 is an abundant number, since it is smaller than the sum of its proper divisors (200479680).

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

87388800 is a wasteful number, since it uses less digits than its factorization.

87388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 87388800 is about 9348.1976872550. The cubic root of 87388800 is about 443.7638546226.

It can be divided in two parts, 87388 and 800, that added together give a palindrome (88188).

The spelling of 87388800 in words is "eighty-seven million, three hundred eighty-eight thousand, eight hundred".