87951960 has 256 divisors, whose sum is σ = 315187200. Its totient is φ = 21772800.

The previous prime is 87951953. The next prime is 87951961. The reversal of 87951960 is 6915978.

87951960 is a `hidden beast` number, since 8 + 79 + 519 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87951961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238725 + ... + 1238795.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^87951960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87951960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

87951960 is an abundant number, since it is smaller than the sum of its proper divisors (227235240).

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

87951960 is a wasteful number, since it uses less digits than its factorization.

87951960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 87951960 is about 9378.2706294924. The cubic root of 87951960 is about 444.7150639842.

The spelling of 87951960 in words is "eighty-seven million, nine hundred fifty-one thousand, nine hundred sixty".