95164160 has 288 divisors, whose sum is σ = 302184960. Its totient is φ = 27869184.

The previous prime is 95164159. The next prime is 95164169. The reversal of 95164160 is 6146159.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95164169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213099 + ... + 2213141.

Almost surely, 2^95164160 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 95164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092480).

95164160 is an abundant number, since it is smaller than the sum of its proper divisors (207020800).

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

95164160 is a wasteful number, since it uses less digits than its factorization.

95164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 95164160 is about 9755.2119402912. The cubic root of 95164160 is about 456.5529354895.

The spelling of 95164160 in words is "ninety-five million, one hundred sixty-four thousand, one hundred sixty".