5368400 has 30 divisors (see below), whose sum is σ = 12898542. Its totient is φ = 2147200.

The previous prime is 5368399. The next prime is 5368403. The reversal of 5368400 is 48635.

It can be written as a sum of positive squares in 3 ways, for example, as 1336336 + 4032064 = 1156^2 + 2008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5368400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5368403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6311 + ... + 7110.

Almost surely, 2^5368400 is an apocalyptic number.

5368400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5368400 is an abundant number, since it is smaller than the sum of its proper divisors (7530142).

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

5368400 is a wasteful number, since it uses less digits than its factorization.

5368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5368400 is about 2316.9807940507. The cubic root of 5368400 is about 175.0981762047.

The spelling of 5368400 in words is "five million, three hundred sixty-eight thousand, four hundred".