95766160 has 160 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 30965760.

The previous prime is 95766131. The next prime is 95766173. The reversal of 95766160 is 6166759.

It is a super-2 number, since 2×95766160² = 18342314802291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 987232 + ... + 987328.

Almost surely, 2^95766160 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 95766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

95766160 is an abundant number, since it is smaller than the sum of its proper divisors (173716592).

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

95766160 is a wasteful number, since it uses less digits than its factorization.

95766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 95766160 is about 9786.0185979795. The cubic root of 95766160 is about 457.5136170014.

The spelling of 95766160 in words is "ninety-five million, seven hundred sixty-six thousand, one hundred sixty".