87966560 has 96 divisors (see below), whose sum is σ = 228904704. Its totient is φ = 31680000.

The previous prime is 87966553. The next prime is 87966569. The reversal of 87966560 is 6566978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87966569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265595 + ... + 265925.

It is an arithmetic number, because the mean of its divisors is an integer number (2384424).

Almost surely, 2^87966560 is an apocalyptic number.

87966560 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 87966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114452352).

87966560 is an abundant number, since it is smaller than the sum of its proper divisors (140938144).

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

87966560 is a wasteful number, since it uses less digits than its factorization.

87966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 87966560 is about 9379.0489923019. The cubic root of 87966560 is about 444.7396701469.

The spelling of 87966560 in words is "eighty-seven million, nine hundred sixty-six thousand, five hundred sixty".