7971264 has 112 divisors (see below), whose sum is σ = 26822400. Its totient is φ = 2274048.

The previous prime is 7971263. The next prime is 7971269. The reversal of 7971264 is 4621797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971263) 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, 11767 + ... + 12425.

Almost surely, 2^7971264 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 7971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411200).

7971264 is an abundant number, since it is smaller than the sum of its proper divisors (18851136).

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

7971264 is a wasteful number, since it uses less digits than its factorization.

7971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7971264 is about 2823.3426997090. The cubic root of 7971264 is about 199.7602460384.

The spelling of 7971264 in words is "seven million, nine hundred seventy-one thousand, two hundred sixty-four".