87951360 has 192 divisors, whose sum is σ = 322358400. Its totient is φ = 20054016.

The previous prime is 87951317. The next prime is 87951389. The reversal of 87951360 is 6315978.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214836 + ... + 215244.

It is an arithmetic number, because the mean of its divisors is an integer number (1678950).

Almost surely, 2^87951360 is an apocalyptic number.

87951360 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 87951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

87951360 is an abundant number, since it is smaller than the sum of its proper divisors (234407040).

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

87951360 is a wasteful number, since it uses less digits than its factorization.

87951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 87951360 is about 9378.2386405977. The cubic root of 87951360 is about 444.7140527138.

The spelling of 87951360 in words is "eighty-seven million, nine hundred fifty-one thousand, three hundred sixty".