970364160 has 216 divisors, whose sum is σ = 3388248864. Its totient is φ = 256389120.

The previous prime is 970364141. The next prime is 970364167. The reversal of 970364160 is 61463079.

970364160 is a `hidden beast` number, since 9 + 7 + 0 + 3 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970364167) by changing a digit.

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, 1508799 + ... + 1509441.

Almost surely, 2^970364160 is an apocalyptic number.

970364160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694124432).

970364160 is an abundant number, since it is smaller than the sum of its proper divisors (2417884704).

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

970364160 is a wasteful number, since it uses less digits than its factorization.

970364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 970364160 is about 31150.6686926621. The cubic root of 970364160 is about 990.0221605079.

The spelling of 970364160 in words is "nine hundred seventy million, three hundred sixty-four thousand, one hundred sixty".