970152960 has 264 divisors, whose sum is σ = 3612381840. Its totient is φ = 221577216.

The previous prime is 970152959. The next prime is 970153013. The reversal of 970152960 is 69251079.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 751996 + ... + 753284.

Almost surely, 2^970152960 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 970152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806190920).

970152960 is an abundant number, since it is smaller than the sum of its proper divisors (2642228880).

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

970152960 is a wasteful number, since it uses less digits than its factorization.

970152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 970152960 is about 31147.2785328028. The cubic root of 970152960 is about 989.9503291067.

The spelling of 970152960 in words is "nine hundred seventy million, one hundred fifty-two thousand, nine hundred sixty".