87615920 has 160 divisors (see below), whose sum is σ = 247603200. Its totient is φ = 28788480.

The previous prime is 87615911. The next prime is 87615949. The reversal of 87615920 is 2951678.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 850589 + ... + 850691.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2^87615920 is an apocalyptic number.

87615920 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 87615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801600).

87615920 is an abundant number, since it is smaller than the sum of its proper divisors (159987280).

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

87615920 is a wasteful number, since it uses less digits than its factorization.

87615920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 87615920 is about 9360.3376007492. The cubic root of 87615920 is about 444.1479635632.

The spelling of 87615920 in words is "eighty-seven million, six hundred fifteen thousand, nine hundred twenty".