7538256 has 60 divisors (see below), whose sum is σ = 23019360. Its totient is φ = 2283840.

The previous prime is 7538233. The next prime is 7538281. The reversal of 7538256 is 6528357.

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

It is a d-powerful number, because it can be written as 7⁸ + 5⁶ + 3² + 8² + 2⁴ + 5⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 7538256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796 + ... + 3963.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 2^7538256 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 7538256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509680).

7538256 is an abundant number, since it is smaller than the sum of its proper divisors (15481104).

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

7538256 is a wasteful number, since it uses less digits than its factorization.

7538256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4775 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 7538256 is about 2745.5884615142. The cubic root of 7538256 is about 196.0756337284.

It can be divided in two parts, 753 and 8256, that added together give a palindrome (9009).

The spelling of 7538256 in words is "seven million, five hundred thirty-eight thousand, two hundred fifty-six".