87275760 has 160 divisors (see below), whose sum is σ = 317979648. Its totient is φ = 19522560.

The previous prime is 87275753. The next prime is 87275779. The reversal of 87275760 is 6757278.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33049 + ... + 35591.

Almost surely, 2^87275760 is an apocalyptic number.

87275760 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 87275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158989824).

87275760 is an abundant number, since it is smaller than the sum of its proper divisors (230703888).

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

87275760 is a wasteful number, since it uses less digits than its factorization.

87275760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 87275760 is about 9342.1496455580. The cubic root of 87275760 is about 443.5724315005.

The spelling of 87275760 in words is "eighty-seven million, two hundred seventy-five thousand, seven hundred sixty".