960683040 has 72 divisors (see below), whose sum is σ = 3278335788. Its totient is φ = 256181760.

The previous prime is 960683011. The next prime is 960683041. The reversal of 960683040 is 40386069.

960683040 is a `hidden beast` number, since 9 + 606 + 8 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 899280144 + 61402896 = 29988^2 + 7836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 960682986 and 960683004.

It is not an unprimeable number, because it can be changed into a prime (960683041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332131 + ... + 335010.

Almost surely, 2^960683040 is an apocalyptic number.

960683040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

960683040 is an abundant number, since it is smaller than the sum of its proper divisors (2317652748).

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

960683040 is a wasteful number, since it uses less digits than its factorization.

960683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667162 (or 667151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 960683040 is about 30994.8873203308. The cubic root of 960683040 is about 986.7187355851.

The spelling of 960683040 in words is "nine hundred sixty million, six hundred eighty-three thousand, forty".