1356800 has 66 divisors (see below), whose sum is σ = 3426678. Its totient is φ = 532480.

The previous prime is 1356763. The next prime is 1356811. The reversal of 1356800 is 86531.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 1183744 = 416^2 + 1088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25574 + ... + 25626.

2^1356800 is an apocalyptic number.

1356800 is a gapful number since it is divisible by the number (10) 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 1356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713339).

1356800 is an abundant number, since it is smaller than the sum of its proper divisors (2069878).

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

1356800 is an equidigital number, since it uses as much as digits as its factorization.

1356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1356800 is about 1164.8175822849. The cubic root of 1356800 is about 110.7062002916.

The spelling of 1356800 in words is "one million, three hundred fifty-six thousand, eight hundred".