7268508 has 96 divisors (see below), whose sum is σ = 21073920. Its totient is φ = 2151360.

The previous prime is 7268497. The next prime is 7268509. The reversal of 7268508 is 8058627.

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 (7268509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43441 + ... + 43607.

It is an arithmetic number, because the mean of its divisors is an integer number (219520).

Almost surely, 2^7268508 is an apocalyptic number.

7268508 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 7268508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536960).

7268508 is an abundant number, since it is smaller than the sum of its proper divisors (13805412).

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

7268508 is a wasteful number, since it uses less digits than its factorization.

7268508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7268508 is about 2696.0170622605. The cubic root of 7268508 is about 193.7083867620.

It can be divided in two parts, 7268 and 508, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7268508 in words is "seven million, two hundred sixty-eight thousand, five hundred eight".