95257080 has 128 divisors (see below), whose sum is σ = 319867200. Its totient is φ = 25214976.

The previous prime is 95257067. The next prime is 95257111. The reversal of 95257080 is 8075259.

95257080 is a `hidden beast` number, since 9 + 5 + 2 + 570 + 80 = 666.

It is a super-2 number, since 2×95257080² = 18147822580252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208212 + ... + 208668.

Almost surely, 2^95257080 is an apocalyptic number.

95257080 is a gapful number since it is divisible by the number (90) 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 95257080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159933600).

95257080 is an abundant number, since it is smaller than the sum of its proper divisors (224610120).

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

95257080 is a wasteful number, since it uses less digits than its factorization.

95257080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95257080 is about 9759.9733606194. The cubic root of 95257080 is about 456.7014826553.

The spelling of 95257080 in words is "ninety-five million, two hundred fifty-seven thousand, eighty".