95966720 has 80 divisors (see below), whose sum is σ = 242328240. Its totient is φ = 36347904.

The previous prime is 95966711. The next prime is 95966723. The reversal of 95966720 is 2766959.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×95966720² = 18419222695116800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95966723) 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, 47654 + ... + 49626.

It is an arithmetic number, because the mean of its divisors is an integer number (3029103).

Almost surely, 2^95966720 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 95966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121164120).

95966720 is an abundant number, since it is smaller than the sum of its proper divisors (146361520).

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

95966720 is a wasteful number, since it uses less digits than its factorization.

95966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 95966720 is about 9796.2605110317. The cubic root of 95966720 is about 457.8327796699.

The spelling of 95966720 in words is "ninety-five million, nine hundred sixty-six thousand, seven hundred twenty".