1890240 has 112 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 455680.

The previous prime is 1890227. The next prime is 1890241. The reversal of 1890240 is 420981.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1890240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10471 + ... + 10649.

2^1890240 is an apocalyptic number.

1890240 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 1890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

1890240 is an abundant number, since it is smaller than the sum of its proper divisors (4693440).

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

1890240 is a wasteful number, since it uses less digits than its factorization.

1890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1890240 is about 1374.8599928720. The cubic root of 1890240 is about 123.6437921509.

The spelling of 1890240 in words is "one million, eight hundred ninety thousand, two hundred forty".