970556160 has 144 divisors (see below), whose sum is σ = 3542628096. Its totient is φ = 221835264.

The previous prime is 970556143. The next prime is 970556161. The reversal of 970556160 is 61655079.

It is not an unprimeable number, because it can be changed into a prime (970556161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8827 + ... + 44933.

It is an arithmetic number, because the mean of its divisors is an integer number (24601584).

Almost surely, 2^970556160 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 970556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771314048).

970556160 is an abundant number, since it is smaller than the sum of its proper divisors (2572071936).

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

970556160 is a wasteful number, since it uses less digits than its factorization.

970556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36138 (or 36124 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 970556160 is about 31153.7503360350. The cubic root of 970556160 is about 990.0874527378.

The spelling of 970556160 in words is "nine hundred seventy million, five hundred fifty-six thousand, one hundred sixty".