960074640 has 480 divisors, whose sum is σ = 3949032960. Its totient is φ = 213663744.

The previous prime is 960074627. The next prime is 960074641. The reversal of 960074640 is 46470069.

960074640 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 7 + 4 + 640 = 666.

It is a super-2 number, since 2×960074640² = 1843486628742259200, which contains 22 as substring.

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 = 960074595 and 960074604.

It is not an unprimeable number, because it can be changed into a prime (960074641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4974384 + ... + 4974576.

It is an arithmetic number, because the mean of its divisors is an integer number (8227152).

Almost surely, 2^960074640 is an apocalyptic number.

960074640 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 960074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974516480).

960074640 is an abundant number, since it is smaller than the sum of its proper divisors (2988958320).

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

960074640 is a wasteful number, since it uses less digits than its factorization.

960074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 960074640 is about 30985.0712440685. The cubic root of 960074640 is about 986.5103954681.

The spelling of 960074640 in words is "nine hundred sixty million, seventy-four thousand, six hundred forty".