7247664 has 80 divisors (see below), whose sum is σ = 21923200. Its totient is φ = 2286144.

The previous prime is 7247663. The next prime is 7247687. The reversal of 7247664 is 4667427.

7247664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (7247663) 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, 7767 + ... + 8649.

It is an arithmetic number, because the mean of its divisors is an integer number (274040).

Almost surely, 2^7247664 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 7247664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961600).

7247664 is an abundant number, since it is smaller than the sum of its proper divisors (14675536).

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

7247664 is a wasteful number, since it uses less digits than its factorization.

7247664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 7247664 is about 2692.1485843096. The cubic root of 7247664 is about 193.5230427459.

The spelling of 7247664 in words is "seven million, two hundred forty-seven thousand, six hundred sixty-four".