7931264 has 64 divisors (see below), whose sum is σ = 17772480. Its totient is φ = 3494400.

The previous prime is 7931263. The next prime is 7931267. The reversal of 7931264 is 4621397.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 7³ + 9⁷ + 3⁷ + 1 + 2²¹ + 6² + 4¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 7931264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7931263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60479 + ... + 60609.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 2^7931264 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 7931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240).

7931264 is an abundant number, since it is smaller than the sum of its proper divisors (9841216).

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

7931264 is a wasteful number, since it uses less digits than its factorization.

7931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 7931264 is about 2816.2499889037. The cubic root of 7931264 is about 199.4255516250.

The spelling of 7931264 in words is "seven million, nine hundred thirty-one thousand, two hundred sixty-four".