7513664 has 56 divisors (see below), whose sum is σ = 16215360. Its totient is φ = 3442176.

The previous prime is 7513661. The next prime is 7513669. The reversal of 7513664 is 4663157.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7513664.

It is not an unprimeable number, because it can be changed into a prime (7513661) 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, 44909 + ... + 45075.

It is an arithmetic number, because the mean of its divisors is an integer number (289560).

Almost surely, 2^7513664 is an apocalyptic number.

7513664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107680).

7513664 is an abundant number, since it is smaller than the sum of its proper divisors (8701696).

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

7513664 is a wasteful number, since it uses less digits than its factorization.

7513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 7513664 is about 2741.1063459851. The cubic root of 7513664 is about 195.8621827223.

The spelling of 7513664 in words is "seven million, five hundred thirteen thousand, six hundred sixty-four".