87360768 has 180 divisors, whose sum is σ = 284917248. Its totient is φ = 26403840.

The previous prime is 87360761. The next prime is 87360799. The reversal of 87360768 is 86706378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87360761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227905 + ... + 228287.

Almost surely, 2^87360768 is an apocalyptic number.

87360768 is a gapful number since it is divisible by the number (88) 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 87360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624).

87360768 is an abundant number, since it is smaller than the sum of its proper divisors (197556480).

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

87360768 is a wasteful number, since it uses less digits than its factorization.

87360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 87360768 is about 9346.6982405553. The cubic root of 87360768 is about 443.7164003390.

The spelling of 87360768 in words is "eighty-seven million, three hundred sixty thousand, seven hundred sixty-eight".