970882560 has 120 divisors (see below), whose sum is σ = 3362519160. Its totient is φ = 258895872.

The previous prime is 970882541. The next prime is 970882573. The reversal of 970882560 is 65288079.

970882560 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×970882560² = 1885225890624307200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 44109.

It is an arithmetic number, because the mean of its divisors is an integer number (28020993).

Almost surely, 2^970882560 is an apocalyptic number.

970882560 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 970882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681259580).

970882560 is an abundant number, since it is smaller than the sum of its proper divisors (2391636600).

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

970882560 is a wasteful number, since it uses less digits than its factorization.

970882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42168 (or 42149 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 970882560 is about 31158.9884303069. The cubic root of 970882560 is about 990.1984297692.

The spelling of 970882560 in words is "nine hundred seventy million, eight hundred eighty-two thousand, five hundred sixty".