970873344 has 320 divisors, whose sum is σ = 3352166400. Its totient is φ = 271724544.

The previous prime is 970873333. The next prime is 970873363. The reversal of 970873344 is 443378079.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 970873344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7644609 + ... + 7644735.

It is an arithmetic number, because the mean of its divisors is an integer number (10475520).

Almost surely, 2^970873344 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 970873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676083200).

970873344 is an abundant number, since it is smaller than the sum of its proper divisors (2381293056).

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

970873344 is a wasteful number, since it uses less digits than its factorization.

970873344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 970873344 is about 31158.8405432551. The cubic root of 970873344 is about 990.1952966413.

The spelling of 970873344 in words is "nine hundred seventy million, eight hundred seventy-three thousand, three hundred forty-four".