5268096 has 96 divisors (see below), whose sum is σ = 16110900. Its totient is φ = 1646592.

The previous prime is 5268091. The next prime is 5268101. The reversal of 5268096 is 6908625.

It is an interprime number because it is at equal distance from previous prime (5268091) and next prime (5268101).

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 69696 = 2280^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5268096.

It is not an unprimeable number, because it can be changed into a prime (5268091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19450 + ... + 19718.

Almost surely, 2^5268096 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 5268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055450).

5268096 is an abundant number, since it is smaller than the sum of its proper divisors (10842804).

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

5268096 is a wasteful number, since it uses less digits than its factorization.

5268096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5268096 is about 2295.2333214730. The cubic root of 5268096 is about 174.0007927035. Note that the first 3 decimals are identical.

The spelling of 5268096 in words is "five million, two hundred sixty-eight thousand, ninety-six".