7997584 has 45 divisors (see below), whose sum is σ = 18205401. Its totient is φ = 3393600.

The previous prime is 7997581. The next prime is 7997621. The reversal of 7997584 is 4857997.

It is a happy number.

The square root of 7997584 is 2828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 313600 = 2772^2 + 560^2 .

It is a super-2 number, since 2×7997584² = 127922699674112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (635040) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (7997581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79134 + ... + 79234.

Almost surely, 2^7997584 is an apocalyptic number.

7997584 is the 2828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7997584

7997584 is an abundant number, since it is smaller than the sum of its proper divisors (10207817).

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

7997584 is a wasteful number, since it uses less digits than its factorization.

7997584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The cubic root of 7997584 is about 199.9798646396.

Multiplying 7997584 by its sum of digits (49), we get a square (391881616 = 19796²).

7997584 divided by its sum of digits (49) gives a square (163216 = 404²).

The spelling of 7997584 in words is "seven million, nine hundred ninety-seven thousand, five hundred eighty-four".