7481268 has 48 divisors (see below), whose sum is σ = 19776960. Its totient is φ = 2444832.

The previous prime is 7481263. The next prime is 7481281. The reversal of 7481268 is 8621847.

7481268 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7481263) 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, 5071 + ... + 6377.

It is an arithmetic number, because the mean of its divisors is an integer number (412020).

Almost surely, 2^7481268 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 7481268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888480).

7481268 is an abundant number, since it is smaller than the sum of its proper divisors (12295692).

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

7481268 is a wasteful number, since it uses less digits than its factorization.

7481268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7481268 is about 2735.1906697706. The cubic root of 7481268 is about 195.5802833075.

It can be divided in two parts, 748 and 1268, that added together give a triangular number (2016 = T₆₃).

The spelling of 7481268 in words is "seven million, four hundred eighty-one thousand, two hundred sixty-eight".