971520 has 144 divisors (see below), whose sum is σ = 3532032. Its totient is φ = 225280.

The previous prime is 971513. The next prime is 971521. The reversal of 971520 is 25179.

It is a super-2 number, since 2×971520² = 1887702220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (971521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42229 + ... + 42251.

It is an arithmetic number, because the mean of its divisors is an integer number (24528).

2⁹⁷¹⁵²⁰ 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 971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766016).

971520 is an abundant number, since it is smaller than the sum of its proper divisors (2560512).

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

971520 is a wasteful number, since it uses less digits than its factorization.

971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 971520 is about 985.6571412007. The cubic root of 971520 is about 99.0415089684.

Adding to 971520 its reverse (25179), we get a palindrome (996699).

The spelling of 971520 in words is "nine hundred seventy-one thousand, five hundred twenty".