7457968 has 40 divisors (see below), whose sum is σ = 17489952. Its totient is φ = 3007488.

The previous prime is 7457953. The next prime is 7457987. The reversal of 7457968 is 8697547.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55 + ... + 3862.

Almost surely, 2^7457968 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 7457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744976).

7457968 is an abundant number, since it is smaller than the sum of its proper divisors (10031984).

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

7457968 is a wasteful number, since it uses less digits than its factorization.

7457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3943 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 7457968 is about 2730.9280473861. The cubic root of 7457968 is about 195.3770307899.

It can be divided in two parts, 74579 and 68, that added together give a palindrome (74647).

The spelling of 7457968 in words is "seven million, four hundred fifty-seven thousand, nine hundred sixty-eight".