95074560 has 360 divisors, whose sum is σ = 391761216. Its totient is φ = 21565440.

The previous prime is 95074559. The next prime is 95074619. The reversal of 95074560 is 6547059.

95074560 is a `hidden beast` number, since 95 + 0 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725695 + ... + 725825.

Almost surely, 2^95074560 is an apocalyptic number.

95074560 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 95074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195880608).

95074560 is an abundant number, since it is smaller than the sum of its proper divisors (296686656).

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

95074560 is a wasteful number, since it uses less digits than its factorization.

95074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 95074560 is about 9750.6184419246. The cubic root of 95074560 is about 456.4096042599.

The spelling of 95074560 in words is "ninety-five million, seventy-four thousand, five hundred sixty".