1393200 has 150 divisors (see below), whose sum is σ = 5116364. Its totient is φ = 362880.

The previous prime is 1393193. The next prime is 1393219. The reversal of 1393200 is 23931.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32379 + ... + 32421.

2^1393200 is an apocalyptic number.

1393200 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 1393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558182).

1393200 is an abundant number, since it is smaller than the sum of its proper divisors (3723164).

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

1393200 is a wasteful number, since it uses less digits than its factorization.

1393200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1393200 is about 1180.3389343744. The cubic root of 1393200 is about 111.6874791038.

The spelling of 1393200 in words is "one million, three hundred ninety-three thousand, two hundred".