87268800 has 84 divisors (see below), whose sum is σ = 286330136. Its totient is φ = 23270400.

The previous prime is 87268763. The next prime is 87268807. The reversal of 87268800 is 886278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87268807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4291 + ... + 13890.

Almost surely, 2^87268800 is an apocalyptic number.

87268800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87268800 is an abundant number, since it is smaller than the sum of its proper divisors (199061336).

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

87268800 is a wasteful number, since it uses less digits than its factorization.

87268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18206 (or 18191 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 87268800 is about 9341.7771328586. Note that the first 3 decimals coincide. The cubic root of 87268800 is about 443.5606399629.

The spelling of 87268800 in words is "eighty-seven million, two hundred sixty-eight thousand, eight hundred".