970713120 has 192 divisors, whose sum is σ = 3339633024. Its totient is φ = 235560960.

The previous prime is 970713119. The next prime is 970713127. The reversal of 970713120 is 21317079.

970713120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×970713120² = 1884567922680268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (970713127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454455 + ... + 456585.

It is an arithmetic number, because the mean of its divisors is an integer number (17393922).

Almost surely, 2^970713120 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 970713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669816512).

970713120 is an abundant number, since it is smaller than the sum of its proper divisors (2368919904).

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

970713120 is a wasteful number, since it uses less digits than its factorization.

970713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 970713120 is about 31156.2693530532. The cubic root of 970713120 is about 990.1408227388.

The spelling of 970713120 in words is "nine hundred seventy million, seven hundred thirteen thousand, one hundred twenty".