970594560 has 216 divisors, whose sum is σ = 3617033784. Its totient is φ = 238878720.

The previous prime is 970594511. The next prime is 970594571. The reversal of 970594560 is 65495079.

It is a happy number.

970594560 is a `hidden beast` number, since 9 + 7 + 0 + 594 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152176896 + 818417664 = 12336^2 + 28608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146520 + ... + 153000.

Almost surely, 2^970594560 is an apocalyptic number.

970594560 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 970594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808516892).

970594560 is an abundant number, since it is smaller than the sum of its proper divisors (2646439224).

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

970594560 is a wasteful number, since it uses less digits than its factorization.

970594560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 970594560 is about 31154.3666281310. The cubic root of 970594560 is about 990.1005101504.

The spelling of 970594560 in words is "nine hundred seventy million, five hundred ninety-four thousand, five hundred sixty".