1890720 has 144 divisors (see below), whose sum is σ = 7017192. Its totient is φ = 460800.

The previous prime is 1890719. The next prime is 1890731. The reversal of 1890720 is 270981.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 242064 = 1284^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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, 18670 + ... + 18770.

2^1890720 is an apocalyptic number.

1890720 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 1890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508596).

1890720 is an abundant number, since it is smaller than the sum of its proper divisors (5126472).

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

1890720 is a wasteful number, since it uses less digits than its factorization.

1890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1890720 is about 1375.0345450206. The cubic root of 1890720 is about 123.6542571355.

The spelling of 1890720 in words is "one million, eight hundred ninety thousand, seven hundred twenty".