95777164 has 72 divisors (see below), whose sum is σ = 205232832. Its totient is φ = 38949120.

The previous prime is 95777153. The next prime is 95777183. The reversal of 95777164 is 46177759.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340704 + ... + 340984.

It is an arithmetic number, because the mean of its divisors is an integer number (2850456).

Almost surely, 2^95777164 is an apocalyptic number.

95777164 is a gapful number since it is divisible by the number (94) 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 95777164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102616416).

95777164 is an abundant number, since it is smaller than the sum of its proper divisors (109455668).

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

95777164 is a wasteful number, since it uses less digits than its factorization.

95777164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its digits is 370440, while the sum is 46.

The square root of 95777164 is about 9786.5808125208. The cubic root of 95777164 is about 457.5311398474.

The spelling of 95777164 in words is "ninety-five million, seven hundred seventy-seven thousand, one hundred sixty-four".