95516880 has 160 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 23347200.

The previous prime is 95516879. The next prime is 95516893. The reversal of 95516880 is 8861559.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166995 + ... + 167565.

Almost surely, 2^95516880 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 95516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

95516880 is an abundant number, since it is smaller than the sum of its proper divisors (226212528).

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

95516880 is a wasteful number, since it uses less digits than its factorization.

95516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 95516880 is about 9773.2737606188. The cubic root of 95516880 is about 457.1163016568.

The spelling of 95516880 in words is "ninety-five million, five hundred sixteen thousand, eight hundred eighty".