87973920 has 144 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 23265792.

The previous prime is 87973913. The next prime is 87973973. The reversal of 87973920 is 2937978.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286407 + ... + 286713.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 2^87973920 is an apocalyptic number.

87973920 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 87973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

87973920 is an abundant number, since it is smaller than the sum of its proper divisors (214728480).

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

87973920 is a wasteful number, since it uses less digits than its factorization.

87973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 87973920 is about 9379.4413479695. The cubic root of 87973920 is about 444.7520733172.

The spelling of 87973920 in words is "eighty-seven million, nine hundred seventy-three thousand, nine hundred twenty".