1320900 has 144 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 276480.

The previous prime is 1320889. The next prime is 1320901. The reversal of 1320900 is 90231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320900.

It is not an unprimeable number, because it can be changed into a prime (1320901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35682 + ... + 35718.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2^1320900 is an apocalyptic number.

1320900 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 1320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

1320900 is an abundant number, since it is smaller than the sum of its proper divisors (3428796).

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

1320900 is a wasteful number, since it uses less digits than its factorization.

1320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1320900 is about 1149.3041372935. The cubic root of 1320900 is about 109.7210563235.

The spelling of 1320900 in words is "one million, three hundred twenty thousand, nine hundred".