970814880 has 576 divisors, whose sum is σ = 4123042560. Its totient is φ = 203046912.

The previous prime is 970814863. The next prime is 970814891. The reversal of 970814880 is 88418079.

970814880 is a `hidden beast` number, since 97 + 0 + 81 + 488 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7086172 + ... + 7086308.

It is an arithmetic number, because the mean of its divisors is an integer number (7158060).

Almost surely, 2^970814880 is an apocalyptic number.

970814880 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 970814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061521280).

970814880 is an abundant number, since it is smaller than the sum of its proper divisors (3152227680).

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

970814880 is a wasteful number, since it uses less digits than its factorization.

970814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 970814880 is about 31157.9023684201. The cubic root of 970814880 is about 990.1754203996.

The spelling of 970814880 in words is "nine hundred seventy million, eight hundred fourteen thousand, eight hundred eighty".