87953800 has 48 divisors (see below), whose sum is σ = 223088400. Its totient is φ = 31982400.

The previous prime is 87953797. The next prime is 87953819. The reversal of 87953800 is 835978.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 17790 + ... + 22189.

It is an arithmetic number, because the mean of its divisors is an integer number (4647675).

Almost surely, 2^87953800 is an apocalyptic number.

It is an amenable number.

87953800 is an abundant number, since it is smaller than the sum of its proper divisors (135134600).

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

87953800 is a wasteful number, since it uses less digits than its factorization.

87953800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40006 (or 39997 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 87953800 is about 9378.3687280891. The cubic root of 87953800 is about 444.7181651848.

The spelling of 87953800 in words is "eighty-seven million, nine hundred fifty-three thousand, eight hundred".