7991564 has 48 divisors (see below), whose sum is σ = 17192448. Its totient is φ = 3172608.

The previous prime is 7991563. The next prime is 7991569. The reversal of 7991564 is 4651997.

It is not an unprimeable number, because it can be changed into a prime (7991563) 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, 48947 + ... + 49109.

It is an arithmetic number, because the mean of its divisors is an integer number (358176).

Almost surely, 2^7991564 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 7991564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596224).

7991564 is an abundant number, since it is smaller than the sum of its proper divisors (9200884).

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

7991564 is a wasteful number, since it uses less digits than its factorization.

7991564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its digits is 68040, while the sum is 41.

The square root of 7991564 is about 2826.9354431964. The cubic root of 7991564 is about 199.9296752751.

The spelling of 7991564 in words is "seven million, nine hundred ninety-one thousand, five hundred sixty-four".