87816960 has 540 divisors, whose sum is σ = 394729104. Its totient is φ = 18247680.

The previous prime is 87816941. The next prime is 87816973. The reversal of 87816960 is 6961878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7983355 + ... + 7983365.

Almost surely, 2^87816960 is an apocalyptic number.

87816960 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 87816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197364552).

87816960 is an abundant number, since it is smaller than the sum of its proper divisors (306912144).

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

87816960 is a wasteful number, since it uses less digits than its factorization.

87816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87816960 is about 9371.0703764298. The cubic root of 87816960 is about 444.4874121422.

The spelling of 87816960 in words is "eighty-seven million, eight hundred sixteen thousand, nine hundred sixty".