1364800 has 42 divisors (see below), whose sum is σ = 3362198. Its totient is φ = 545280.

The previous prime is 1364791. The next prime is 1364809. The reversal of 1364800 is 84631.

It is an interprime number because it is at equal distance from previous prime (1364791) and next prime (1364809).

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 1364224 = 24^2 + 1168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364809) 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, 1174 + ... + 2026.

2^1364800 is an apocalyptic number.

1364800 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 1364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681099).

1364800 is an abundant number, since it is smaller than the sum of its proper divisors (1997398).

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

1364800 is an equidigital number, since it uses as much as digits as its factorization.

1364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

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

The square root of 1364800 is about 1168.2465493208. The cubic root of 1364800 is about 110.9233569883.

Subtracting from 1364800 its product of nonzero digits (576), we obtain a square (1364224 = 1168²).

The spelling of 1364800 in words is "one million, three hundred sixty-four thousand, eight hundred".