968315040 has 768 divisors, whose sum is σ = 4389396480. Its totient is φ = 193536000.

The previous prime is 968315027. The next prime is 968315063. The reversal of 968315040 is 40513869.

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

It is a junction number, because it is equal to n+sod(n) for n = 968314986 and 968315004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13638205 + ... + 13638275.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^968315040 is an apocalyptic number.

968315040 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 968315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

968315040 is an abundant number, since it is smaller than the sum of its proper divisors (3421081440).

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

968315040 is a wasteful number, since it uses less digits than its factorization.

968315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 968315040 is about 31117.7608448937. The cubic root of 968315040 is about 989.3247921192.

The spelling of 968315040 in words is "nine hundred sixty-eight million, three hundred fifteen thousand, forty".