1396800 has 126 divisors (see below), whose sum is σ = 5015738. Its totient is φ = 368640.

The previous prime is 1396789. The next prime is 1396817. The reversal of 1396800 is 86931.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 1327104 = 264^2 + 1152^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14352 + ... + 14448.

2^1396800 is an apocalyptic number.

1396800 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 1396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507869).

1396800 is an abundant number, since it is smaller than the sum of its proper divisors (3618938).

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

1396800 is a wasteful number, since it uses less digits than its factorization.

1396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1396800 is about 1181.8629362155. The cubic root of 1396800 is about 111.7835957426.

The spelling of 1396800 in words is "one million, three hundred ninety-six thousand, eight hundred".