95985120 has 384 divisors, whose sum is σ = 391910400. Its totient is φ = 19568640.

The previous prime is 95985119. The next prime is 95985133. The reversal of 95985120 is 2158959.

It is a super-2 number, since 2×95985120² = 18426286522828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811014 + ... + 1811066.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^95985120 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 95985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

95985120 is an abundant number, since it is smaller than the sum of its proper divisors (295925280).

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

95985120 is a wasteful number, since it uses less digits than its factorization.

95985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 95985120 is about 9797.1995998857. The cubic root of 95985120 is about 457.8620383712.

The spelling of 95985120 in words is "ninety-five million, nine hundred eighty-five thousand, one hundred twenty".