1368400 has 60 divisors (see below), whose sum is σ = 3597984. Its totient is φ = 496000.

The previous prime is 1368397. The next prime is 1368401. The reversal of 1368400 is 48631.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368401) 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, 4245 + ... + 4555.

2^1368400 is an apocalyptic number.

1368400 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 1368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798992).

1368400 is an abundant number, since it is smaller than the sum of its proper divisors (2229584).

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

1368400 is a wasteful number, since it uses less digits than its factorization.

1368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1368400 is about 1169.7863052712. The cubic root of 1368400 is about 111.0208006902.

The spelling of 1368400 in words is "one million, three hundred sixty-eight thousand, four hundred".