7444368 has 60 divisors (see below), whose sum is σ = 22066668. Its totient is φ = 2334720.

The previous prime is 7444361. The next prime is 7444369. The reversal of 7444368 is 8634447.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 725904 = 2592^2 + 852^2 .

It is a super-2 number, since 2×7444368² = 110837229838848, which contains 22 as substring.

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

Its product of digits (64512) is a multiple of the sum of its prime factors (3072).

It is not an unprimeable number, because it can be changed into a prime (7444361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928 + ... + 3968.

Almost surely, 2^7444368 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 7444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11033334).

7444368 is an abundant number, since it is smaller than the sum of its proper divisors (14622300).

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

7444368 is a wasteful number, since it uses less digits than its factorization.

7444368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3063 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 7444368 is about 2728.4369151586. The cubic root of 7444368 is about 195.2581984040.

The spelling of 7444368 in words is "seven million, four hundred forty-four thousand, three hundred sixty-eight".