1364200 has 48 divisors (see below), whose sum is σ = 3348000. Its totient is φ = 515520.

The previous prime is 1364191. The next prime is 1364201. The reversal of 1364200 is 24631.

1364200 = T₁₅₂ + T₁₅₃ + ... + T₂₂₆.

It is a super-2 number, since 2×1364200² = 3722083280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1364201) 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, 3621 + ... + 3979.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

2^1364200 is an apocalyptic number.

1364200 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 1364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674000).

1364200 is an abundant number, since it is smaller than the sum of its proper divisors (1983800).

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

1364200 is a wasteful number, since it uses less digits than its factorization.

1364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1364200 is about 1167.9897259822. The cubic root of 1364200 is about 110.9070997175.

Adding to 1364200 its reverse (24631), we get a palindrome (1388831).

The spelling of 1364200 in words is "one million, three hundred sixty-four thousand, two hundred".