7406368 has 48 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 3410176.

The previous prime is 7406353. The next prime is 7406383. The reversal of 7406368 is 8636047.

It is an interprime number because it is at equal distance from previous prime (7406353) and next prime (7406383).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21171 + ... + 21517.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 2^7406368 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 7406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

7406368 is an abundant number, since it is smaller than the sum of its proper divisors (8378912).

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

7406368 is a wasteful number, since it uses less digits than its factorization.

7406368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7406368 is about 2721.4643117263. The cubic root of 7406368 is about 194.9253977173.

The spelling of 7406368 in words is "seven million, four hundred six thousand, three hundred sixty-eight".