95071760 has 120 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 32078592.

The previous prime is 95071751. The next prime is 95071783. The reversal of 95071760 is 6717059.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 95071760.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309527 + ... + 309833.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^95071760 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 95071760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

95071760 is an abundant number, since it is smaller than the sum of its proper divisors (166161520).

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

95071760 is a wasteful number, since it uses less digits than its factorization.

95071760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 95071760 is about 9750.4748602312. The cubic root of 95071760 is about 456.4051237083.

The spelling of 95071760 in words is "ninety-five million, seventy-one thousand, seven hundred sixty".