7267968 has 80 divisors (see below), whose sum is σ = 21660210. Its totient is φ = 2419200.

The previous prime is 7267961. The next prime is 7267991. The reversal of 7267968 is 8697627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 2286144 = 2232^2 + 1512^2 .

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (7267961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10018 + ... + 10718.

Almost surely, 2^7267968 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 7267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830105).

7267968 is an abundant number, since it is smaller than the sum of its proper divisors (14392242).

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

7267968 is an equidigital number, since it uses as much as digits as its factorization.

7267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7267968 is about 2695.9169126663. The cubic root of 7267968 is about 193.7035895776.

The spelling of 7267968 in words is "seven million, two hundred sixty-seven thousand, nine hundred sixty-eight".