949116960 has 192 divisors, whose sum is σ = 3624082560. Its totient is φ = 230077440.

The previous prime is 949116929. The next prime is 949116977. The reversal of 949116960 is 69611949.

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

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, 37534 + ... + 57506.

It is an arithmetic number, because the mean of its divisors is an integer number (18875430).

Almost surely, 2^949116960 is an apocalyptic number.

949116960 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 949116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812041280).

949116960 is an abundant number, since it is smaller than the sum of its proper divisors (2674965600).

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

949116960 is a wasteful number, since it uses less digits than its factorization.

949116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20008 (or 19994 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 949116960 is about 30807.7418841433. The cubic root of 949116960 is about 982.7428919901.

The spelling of 949116960 in words is "nine hundred forty-nine million, one hundred sixteen thousand, nine hundred sixty".