970875360 has 576 divisors, whose sum is σ = 4226826240. Its totient is φ = 197406720.

The previous prime is 970875293. The next prime is 970875377. The reversal of 970875360 is 63578079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062121 + ... + 4062359.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^970875360 is an apocalyptic number.

970875360 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 970875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

970875360 is an abundant number, since it is smaller than the sum of its proper divisors (3255950880).

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

970875360 is a wasteful number, since it uses less digits than its factorization.

970875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 970875360 is about 31158.8728936077. The cubic root of 970875360 is about 990.1959820147.

The spelling of 970875360 in words is "nine hundred seventy million, eight hundred seventy-five thousand, three hundred sixty".