971040 has 144 divisors (see below), whose sum is σ = 3713472. Its totient is φ = 208896.

The previous prime is 971039. The next prime is 971051. The reversal of 971040 is 40179.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 970998 and 971016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57112 + ... + 57128.

It is an arithmetic number, because the mean of its divisors is an integer number (25788).

2⁹⁷¹⁰⁴⁰ 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 971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856736).

971040 is an abundant number, since it is smaller than the sum of its proper divisors (2742432).

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

971040 is a wasteful number, since it uses less digits than its factorization.

971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 971040 is about 985.4136187409. The cubic root of 971040 is about 99.0251950975.

The spelling of 971040 in words is "nine hundred seventy-one thousand, forty".