95365120 has 96 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 37306368.

The previous prime is 95365111. The next prime is 95365129. The reversal of 95365120 is 2156359.

It is an interprime number because it is at equal distance from previous prime (95365111) and next prime (95365129).

It is a super-2 number, since 2×95365120² = 18189012225228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95365129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686011 + ... + 686149.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^95365120 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 95365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

95365120 is an abundant number, since it is smaller than the sum of its proper divisors (138541280).

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

95365120 is a wasteful number, since it uses less digits than its factorization.

95365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 95365120 is about 9765.5066432828. The cubic root of 95365120 is about 456.8740800988.

The spelling of 95365120 in words is "ninety-five million, three hundred sixty-five thousand, one hundred twenty".