7248564 has 36 divisors (see below), whose sum is σ = 18424224. Its totient is φ = 2402832.

The previous prime is 7248551. The next prime is 7248581. The reversal of 7248564 is 4658427.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7729 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (511784).

Almost surely, 2^7248564 is an apocalyptic number.

It is an amenable number.

7248564 is an abundant number, since it is smaller than the sum of its proper divisors (11175660).

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

7248564 is a wasteful number, since it uses less digits than its factorization.

7248564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1119 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7248564 is about 2692.3157318561. The cubic root of 7248564 is about 193.5310528454.

Subtracting from 7248564 its sum of digits (36), we obtain a triangular number (7248528 = T₃₈₀₇).

The spelling of 7248564 in words is "seven million, two hundred forty-eight thousand, five hundred sixty-four".