87370920 has 384 divisors, whose sum is σ = 367718400. Its totient is φ = 18289152.

The previous prime is 87370903. The next prime is 87370937. The reversal of 87370920 is 2907378.

It is an interprime number because it is at equal distance from previous prime (87370903) and next prime (87370937).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687897 + ... + 688023.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^87370920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87370920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

87370920 is an abundant number, since it is smaller than the sum of its proper divisors (280347480).

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

87370920 is a wasteful number, since it uses less digits than its factorization.

87370920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 87370920 is about 9347.2413042566. The cubic root of 87370920 is about 443.7335874377.

The spelling of 87370920 in words is "eighty-seven million, three hundred seventy thousand, nine hundred twenty".