7468968 has 64 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 2232576.

The previous prime is 7468943. The next prime is 7468973. The reversal of 7468968 is 8698647.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11221 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^7468968 is an apocalyptic number.

7468968 is a gapful number since it is divisible by the number (78) 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 7468968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

7468968 is an abundant number, since it is smaller than the sum of its proper divisors (13215192).

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

7468968 is a wasteful number, since it uses less digits than its factorization.

7468968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 7468968 is about 2732.9412726950. The cubic root of 7468968 is about 195.4730395860.

The spelling of 7468968 in words is "seven million, four hundred sixty-eight thousand, nine hundred sixty-eight".