7921368 has 192 divisors, whose sum is σ = 28108800. Its totient is φ = 2021760.

The previous prime is 7921351. The next prime is 7921373. The reversal of 7921368 is 8631297.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (18144) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255513 + ... + 255543.

It is an arithmetic number, because the mean of its divisors is an integer number (146400).

Almost surely, 2^7921368 is an apocalyptic number.

7921368 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 7921368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054400).

7921368 is an abundant number, since it is smaller than the sum of its proper divisors (20187432).

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

7921368 is a wasteful number, since it uses less digits than its factorization.

7921368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7921368 is about 2814.4924942163. The cubic root of 7921368 is about 199.3425746608.

The spelling of 7921368 in words is "seven million, nine hundred twenty-one thousand, three hundred sixty-eight".