87451920 has 80 divisors (see below), whose sum is σ = 301230720. Its totient is φ = 23319936.

The previous prime is 87451909. The next prime is 87451937. The reversal of 87451920 is 2915478.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 18084 + ... + 22403.

It is an arithmetic number, because the mean of its divisors is an integer number (3765384).

Almost surely, 2^87451920 is an apocalyptic number.

87451920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87451920 is an abundant number, since it is smaller than the sum of its proper divisors (213778800).

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

87451920 is a wasteful number, since it uses less digits than its factorization.

87451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40509 (or 40497 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 87451920 is about 9351.5731296932. The cubic root of 87451920 is about 443.8706708788.

The spelling of 87451920 in words is "eighty-seven million, four hundred fifty-one thousand, nine hundred twenty".