87615360 has 384 divisors, whose sum is σ = 360884160. Its totient is φ = 19169280.

The previous prime is 87615323. The next prime is 87615361. The reversal of 87615360 is 6351678.

87615360 is a `hidden beast` number, since 8 + 7 + 615 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87615361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653094 + ... + 1653146.

Almost surely, 2^87615360 is an apocalyptic number.

87615360 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 87615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

87615360 is an abundant number, since it is smaller than the sum of its proper divisors (273268800).

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

87615360 is a wasteful number, since it uses less digits than its factorization.

87615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87615360 is about 9360.3076872505. The cubic root of 87615360 is about 444.1470172992.

The spelling of 87615360 in words is "eighty-seven million, six hundred fifteen thousand, three hundred sixty".