971880 has 128 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 202752.

The previous prime is 971863. The next prime is 971899. The reversal of 971880 is 88179.

971880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

971880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10876 + ... + 10964.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁹⁷¹⁸⁸⁰ 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 971880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

971880 is an abundant number, since it is smaller than the sum of its proper divisors (2656920).

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

971880 is a wasteful number, since it uses less digits than its factorization.

971880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 971880 is about 985.8397435689. The cubic root of 971880 is about 99.0537408457.

The spelling of 971880 in words is "nine hundred seventy-one thousand, eight hundred eighty".