970880 has 64 divisors (see below), whose sum is σ = 2441880. Its totient is φ = 368640.

The previous prime is 970877. The next prime is 970883. The reversal of 970880 is 88079.

It is an interprime number because it is at equal distance from previous prime (970877) and next prime (970883).

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 238144 = 856^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23660 + ... + 23700.

2⁹⁷⁰⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220940).

970880 is an abundant number, since it is smaller than the sum of its proper divisors (1471000).

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

970880 is a wasteful number, since it uses less digits than its factorization.

970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 970880 is about 985.3324312129. The cubic root of 970880 is about 99.0197559458.

The spelling of 970880 in words is "nine hundred seventy thousand, eight hundred eighty".