940152960 has 256 divisors, whose sum is σ = 3413491200. Its totient is φ = 244408320.

The previous prime is 940152959. The next prime is 940152971. The reversal of 940152960 is 69251049.

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

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, 707817 + ... + 709143.

It is an arithmetic number, because the mean of its divisors is an integer number (13333950).

Almost surely, 2^940152960 is an apocalyptic number.

940152960 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 940152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706745600).

940152960 is an abundant number, since it is smaller than the sum of its proper divisors (2473338240).

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

940152960 is a wasteful number, since it uses less digits than its factorization.

940152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 940152960 is about 30661.9138345929. The cubic root of 940152960 is about 979.6392396959.

The spelling of 940152960 in words is "nine hundred forty million, one hundred fifty-two thousand, nine hundred sixty".