970583040 has 704 divisors, whose sum is σ = 4244659200. Its totient is φ = 205258752.

The previous prime is 970583039. The next prime is 970583051. The reversal of 970583040 is 40385079.

970583040 is a `hidden beast` number, since 9 + 70 + 583 + 0 + 4 + 0 = 666.

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 = 970582986 and 970583004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450531 + ... + 16450589.

Almost surely, 2^970583040 is an apocalyptic number.

970583040 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 970583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122329600).

970583040 is an abundant number, since it is smaller than the sum of its proper divisors (3274076160).

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

970583040 is a wasteful number, since it uses less digits than its factorization.

970583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 970583040 is about 31154.1817417823. The cubic root of 970583040 is about 990.0965929628.

The spelling of 970583040 in words is "nine hundred seventy million, five hundred eighty-three thousand, forty".