7668324 has 96 divisors (see below), whose sum is σ = 21705600. Its totient is φ = 2332800.

The previous prime is 7668313. The next prime is 7668337. The reversal of 7668324 is 4238667.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁸ + 6⁶ + 6⁸ + 8 + 3¹¹ + 2⁵ + 4³ .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75874 + ... + 75974.

It is an arithmetic number, because the mean of its divisors is an integer number (226100).

Almost surely, 2^7668324 is an apocalyptic number.

7668324 is a gapful number since it is divisible by the number (74) 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 7668324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10852800).

7668324 is an abundant number, since it is smaller than the sum of its proper divisors (14037276).

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

7668324 is a wasteful number, since it uses less digits than its factorization.

7668324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7668324 is about 2769.1738840311. The cubic root of 7668324 is about 197.1969308866.

The spelling of 7668324 in words is "seven million, six hundred sixty-eight thousand, three hundred twenty-four".