1620800 has 42 divisors (see below), whose sum is σ = 3992118. Its totient is φ = 647680.

The previous prime is 1620769. The next prime is 1620803. The reversal of 1620800 is 80261.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 1597696 = 152^2 + 1264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1094 + ... + 2106.

2^1620800 is an apocalyptic number.

1620800 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 1620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996059).

1620800 is an abundant number, since it is smaller than the sum of its proper divisors (2371318).

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

1620800 is a wasteful number, since it uses less digits than its factorization.

1620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1620800 is about 1273.1064370272. The cubic root of 1620800 is about 117.4653587333.

The spelling of 1620800 in words is "one million, six hundred twenty thousand, eight hundred".