970827296 has 72 divisors (see below), whose sum is σ = 2050532820. Its totient is φ = 452329472.

The previous prime is 970827281. The next prime is 970827301. The reversal of 970827296 is 692728079.

It is a happy number.

970827296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 169937296 + 800890000 = 13036^2 + 28300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044560 + ... + 1045488.

Almost surely, 2^970827296 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 970827296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025266410).

970827296 is an abundant number, since it is smaller than the sum of its proper divisors (1079705524).

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

970827296 is a wasteful number, since it uses less digits than its factorization.

970827296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 970827296 is about 31158.1016109775. The cubic root of 970827296 is about 990.1796415839.

The spelling of 970827296 in words is "nine hundred seventy million, eight hundred twenty-seven thousand, two hundred ninety-six".