1318800 has 120 divisors (see below), whose sum is σ = 4858816. Its totient is φ = 299520.

The previous prime is 1318789. The next prime is 1318829. The reversal of 1318800 is 88131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8322 + ... + 8478.

2^1318800 is an apocalyptic number.

1318800 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 1318800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429408).

1318800 is an abundant number, since it is smaller than the sum of its proper divisors (3540016).

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

1318800 is a wasteful number, since it uses less digits than its factorization.

1318800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1318800 is about 1148.3901775964. The cubic root of 1318800 is about 109.6628797186.

It can be divided in two parts, 1 and 318800, that added together give a triangular number (318801 = T₇₉₈).

The spelling of 1318800 in words is "one million, three hundred eighteen thousand, eight hundred".