970786560 has 144 divisors (see below), whose sum is σ = 3116282400. Its totient is φ = 257556480.

The previous prime is 970786549. The next prime is 970786567. The reversal of 970786560 is 65687079.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970786567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924916 + ... + 925964.

It is an arithmetic number, because the mean of its divisors is an integer number (21640850).

Almost surely, 2^970786560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558141200).

970786560 is an abundant number, since it is smaller than the sum of its proper divisors (2145495840).

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

970786560 is a wasteful number, since it uses less digits than its factorization.

970786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 970786560 is about 31157.4479057576. The cubic root of 970786560 is about 990.1657920481.

The spelling of 970786560 in words is "nine hundred seventy million, seven hundred eighty-six thousand, five hundred sixty".