971264 has 40 divisors (see below), whose sum is σ = 2226048. Its totient is φ = 414720.

The previous prime is 971263. The next prime is 971273. The reversal of 971264 is 462179.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971263) 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 3 ways as a sum of consecutive naturals, for example, 3449 + ... + 3719.

2⁹⁷¹²⁶⁴ 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 971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113024).

971264 is an abundant number, since it is smaller than the sum of its proper divisors (1254784).

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

971264 is an equidigital number, since it uses as much as digits as its factorization.

971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 971264 is about 985.5272700438. The cubic root of 971264 is about 99.0328089061.

The spelling of 971264 in words is "nine hundred seventy-one thousand, two hundred sixty-four".