95992560 has 160 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 24240384.

The previous prime is 95992549. The next prime is 95992573. The reversal of 95992560 is 6529959.

95992560 is a `hidden beast` number, since 9 + 599 + 2 + 56 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39871 + ... + 42209.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^95992560 is an apocalyptic number.

95992560 is a gapful number since it is divisible by the number (90) 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 95992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

95992560 is an abundant number, since it is smaller than the sum of its proper divisors (252199440).

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

95992560 is a wasteful number, since it uses less digits than its factorization.

95992560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 95992560 is about 9797.5792928662. The cubic root of 95992560 is about 457.8738680019.

The spelling of 95992560 in words is "ninety-five million, nine hundred ninety-two thousand, five hundred sixty".