7444864 has 48 divisors (see below), whose sum is σ = 17267580. Its totient is φ = 3187968.

The previous prime is 7444859. The next prime is 7444873. The reversal of 7444864 is 4684447.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5679 + ... + 6865.

Almost surely, 2^7444864 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 7444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633790).

7444864 is an abundant number, since it is smaller than the sum of its proper divisors (9822716).

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

7444864 is a wasteful number, since it uses less digits than its factorization.

7444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1196 counting only the distinct ones).

The product of its digits is 86016, while the sum is 37.

The square root of 7444864 is about 2728.5278081779. The cubic root of 7444864 is about 195.2625348328.

The spelling of 7444864 in words is "seven million, four hundred forty-four thousand, eight hundred sixty-four".