87415360 has 56 divisors (see below), whose sum is σ = 220416120. Its totient is φ = 32907264.

The previous prime is 87415357. The next prime is 87415373. The reversal of 87415360 is 6351478.

It can be written as a sum of positive squares in 4 ways, for example, as 9834496 + 77580864 = 3136^2 + 8808^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2595 + ... + 13474.

Almost surely, 2^87415360 is an apocalyptic number.

87415360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87415360 is an abundant number, since it is smaller than the sum of its proper divisors (133000760).

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

87415360 is a wasteful number, since it uses less digits than its factorization.

87415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16103 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 87415360 is about 9349.6181740219. The cubic root of 87415360 is about 443.8088076529.

The spelling of 87415360 in words is "eighty-seven million, four hundred fifteen thousand, three hundred sixty".