970168320 has 576 divisors, whose sum is σ = 3921372000. Its totient is φ = 227082240.

The previous prime is 970168319. The next prime is 970168351. The reversal of 970168320 is 23861079.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 33454066 + ... + 33454094.

Almost surely, 2^970168320 is an apocalyptic number.

970168320 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 970168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686000).

970168320 is an abundant number, since it is smaller than the sum of its proper divisors (2951203680).

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

970168320 is a wasteful number, since it uses less digits than its factorization.

970168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 970168320 is about 31147.5251023255. The cubic root of 970168320 is about 989.9555535601.

The spelling of 970168320 in words is "nine hundred seventy million, one hundred sixty-eight thousand, three hundred twenty".