7321968 has 80 divisors (see below), whose sum is σ = 22275360. Its totient is φ = 2294784.

The previous prime is 7321943. The next prime is 7321969. The reversal of 7321968 is 8691237.

It is a super-2 number, since 2×7321968² = 107222430786048, which contains 22 as substring.

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7321969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6846 + ... + 7842.

It is an arithmetic number, because the mean of its divisors is an integer number (278442).

Almost surely, 2^7321968 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 7321968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137680).

7321968 is an abundant number, since it is smaller than the sum of its proper divisors (14953392).

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

7321968 is a wasteful number, since it uses less digits than its factorization.

7321968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

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

The square root of 7321968 is about 2705.9135241171. The cubic root of 7321968 is about 194.1821366673.

The spelling of 7321968 in words is "seven million, three hundred twenty-one thousand, nine hundred sixty-eight".