970613280 has 480 divisors, whose sum is σ = 4221068544. Its totient is φ = 204539904.

The previous prime is 970613269. The next prime is 970613297. The reversal of 970613280 is 82316079.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1178949 + ... + 1179771.

Almost surely, 2^970613280 is an apocalyptic number.

970613280 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 970613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110534272).

970613280 is an abundant number, since it is smaller than the sum of its proper divisors (3250455264).

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

970613280 is a wasteful number, since it uses less digits than its factorization.

970613280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 853 counting only the distinct ones).

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

The square root of 970613280 is about 31154.6670661074. The cubic root of 970613280 is about 990.1068755142.

The spelling of 970613280 in words is "nine hundred seventy million, six hundred thirteen thousand, two hundred eighty".