95364960 has 96 divisors (see below), whose sum is σ = 305417952. Its totient is φ = 25006080.

The previous prime is 95364931. The next prime is 95364961. The reversal of 95364960 is 6946359.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95364961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27652 + ... + 30908.

It is an arithmetic number, because the mean of its divisors is an integer number (3181437).

Almost surely, 2^95364960 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 95364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152708976).

95364960 is an abundant number, since it is smaller than the sum of its proper divisors (210052992).

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

95364960 is a wasteful number, since it uses less digits than its factorization.

95364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 95364960 is about 9765.4984511801. The cubic root of 95364960 is about 456.8738245900.

The spelling of 95364960 in words is "ninety-five million, three hundred sixty-four thousand, nine hundred sixty".