95852160 has 240 divisors, whose sum is σ = 350451090. Its totient is φ = 24966144.

The previous prime is 95852153. The next prime is 95852161. The reversal of 95852160 is 6125859.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 9585216 = 9288^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95852161) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2229099 + ... + 2229141.

Almost surely, 2^95852160 is an apocalyptic number.

95852160 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 95852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175225545).

95852160 is an abundant number, since it is smaller than the sum of its proper divisors (254598930).

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

95852160 is an equidigital number, since it uses as much as digits as its factorization.

95852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 95852160 is about 9790.4116358813. The cubic root of 95852160 is about 457.6505282689.

The spelling of 95852160 in words is "ninety-five million, eight hundred fifty-two thousand, one hundred sixty".