970412688 has 240 divisors, whose sum is σ = 3410734080. Its totient is φ = 251133696.

The previous prime is 970412671. The next prime is 970412701. The reversal of 970412688 is 886214079.

970412688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439395 + ... + 441597.

It is an arithmetic number, because the mean of its divisors is an integer number (14211392).

Almost surely, 2^970412688 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 970412688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705367040).

970412688 is an abundant number, since it is smaller than the sum of its proper divisors (2440321392).

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

970412688 is a wasteful number, since it uses less digits than its factorization.

970412688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 970412688 is about 31151.4476068128. The cubic root of 970412688 is about 990.0386639323.

The spelling of 970412688 in words is "nine hundred seventy million, four hundred twelve thousand, six hundred eighty-eight".