949315680 has 96 divisors (see below), whose sum is σ = 3322620000. Its totient is φ = 253149696.

The previous prime is 949315657. The next prime is 949315691. The reversal of 949315680 is 86513949.

It is a happy number.

949315680 is a `hidden beast` number, since 9 + 493 + 156 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105555 + ... + 114194.

It is an arithmetic number, because the mean of its divisors is an integer number (34610625).

Almost surely, 2^949315680 is an apocalyptic number.

949315680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

949315680 is an abundant number, since it is smaller than the sum of its proper divisors (2373304320).

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

949315680 is a wasteful number, since it uses less digits than its factorization.

949315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219773 (or 219759 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 949315680 is about 30810.9668786943. The cubic root of 949315680 is about 982.8114739977.

The spelling of 949315680 in words is "nine hundred forty-nine million, three hundred fifteen thousand, six hundred eighty".