7268856 has 64 divisors (see below), whose sum is σ = 21216000. Its totient is φ = 2074464.

The previous prime is 7268827. The next prime is 7268857. The reversal of 7268856 is 6588627.

7268856 = T₉ + T₁₀ + ... + T₃₅₁.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7268857) 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, 7791 + ... + 8673.

It is an arithmetic number, because the mean of its divisors is an integer number (331500).

Almost surely, 2^7268856 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 7268856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608000).

7268856 is an abundant number, since it is smaller than the sum of its proper divisors (13947144).

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

7268856 is a wasteful number, since it uses less digits than its factorization.

7268856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 895 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 7268856 is about 2696.0816011390. The cubic root of 7268856 is about 193.7114781549.

The spelling of 7268856 in words is "seven million, two hundred sixty-eight thousand, eight hundred fifty-six".