1889280 has 132 divisors (see below), whose sum is σ = 6705972. Its totient is φ = 491520.

The previous prime is 1889273. The next prime is 1889287. The reversal of 1889280 is 829881.

It is an interprime number because it is at equal distance from previous prime (1889273) and next prime (1889287).

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 1557504 = 576^2 + 1248^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46060 + ... + 46100.

2^1889280 is an apocalyptic number.

1889280 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 1889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352986).

1889280 is an abundant number, since it is smaller than the sum of its proper divisors (4816692).

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

1889280 is a wasteful number, since it uses less digits than its factorization.

1889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1889280 is about 1374.5108220745. The cubic root of 1889280 is about 123.6228568657.

It can be divided in two parts, 18 and 89280, that added together give a palindrome (89298).

The spelling of 1889280 in words is "one million, eight hundred eighty-nine thousand, two hundred eighty".