7841264 has 20 divisors (see below), whose sum is σ = 15683520. Its totient is φ = 3793920.

The previous prime is 7841263. The next prime is 7841341. The reversal of 7841264 is 4621487.

7841264 is an admirable number.

It is a super-2 number, since 2×7841264² = 122970842235392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7841264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7841263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7409 + ... + 8400.

It is an arithmetic number, because the mean of its divisors is an integer number (784176).

Almost surely, 2^7841264 is an apocalyptic number.

It is an amenable number.

7841264 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

7841264 is a wasteful number, since it uses less digits than its factorization.

7841264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15848 (or 15842 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 7841264 is about 2800.2257051888. The cubic root of 7841264 is about 198.6683532631.

It can be divided in two parts, 784 and 1264, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 7841264 in words is "seven million, eight hundred forty-one thousand, two hundred sixty-four".