7503664 has 60 divisors (see below), whose sum is σ = 17938584. Its totient is φ = 3021312.

The previous prime is 7503659. The next prime is 7503667. The reversal of 7503664 is 4663057.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7503667) by changing a digit.

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, 13047 + ... + 13609.

Almost surely, 2^7503664 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 7503664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969292).

7503664 is an abundant number, since it is smaller than the sum of its proper divisors (10434920).

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

7503664 is a wasteful number, since it uses less digits than its factorization.

7503664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 7503664 is about 2739.2816576614. The cubic root of 7503664 is about 195.7752525914.

The spelling of 7503664 in words is "seven million, five hundred three thousand, six hundred sixty-four".