7985264 has 40 divisors (see below), whose sum is σ = 17915520. Its totient is φ = 3377088.

The previous prime is 7985249. The next prime is 7985267. The reversal of 7985264 is 4625897.

It is a super-2 number, since 2×7985264² = 127528882299392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985267) 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, 8867 + ... + 9725.

It is an arithmetic number, because the mean of its divisors is an integer number (447888).

Almost surely, 2^7985264 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 7985264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957760).

7985264 is an abundant number, since it is smaller than the sum of its proper divisors (9930256).

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

7985264 is a wasteful number, since it uses less digits than its factorization.

7985264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 7985264 is about 2825.8209426643. The cubic root of 7985264 is about 199.8771245235.

The spelling of 7985264 in words is "seven million, nine hundred eighty-five thousand, two hundred sixty-four".