1887144 has 64 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 525504.

The previous prime is 1887143. The next prime is 1887161. The reversal of 1887144 is 4417881.

It is a super-2 number, since 2×1887144² = 7122624953472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1887143) 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, 7777 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

2^1887144 is an apocalyptic number.

1887144 is a gapful number since it is divisible by the number (14) 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 1887144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764800).

1887144 is an abundant number, since it is smaller than the sum of its proper divisors (3642456).

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

1887144 is a wasteful number, since it uses less digits than its factorization.

1887144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 1887144 is about 1373.7335986282. The cubic root of 1887144 is about 123.5762503986.

It can be divided in two parts, 18871 and 44, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 1887144 in words is "one million, eight hundred eighty-seven thousand, one hundred forty-four".