1908144 has 80 divisors (see below), whose sum is σ = 6269440. Its totient is φ = 544320.

The previous prime is 1908133. The next prime is 1908157. The reversal of 1908144 is 4418091.

It is a super-3 number, since 3×1908144³ = 20842734333431549952, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 2709 + ... + 3339.

It is an arithmetic number, because the mean of its divisors is an integer number (78368).

2^1908144 is an apocalyptic number.

1908144 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 1908144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134720).

1908144 is an abundant number, since it is smaller than the sum of its proper divisors (4361296).

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

1908144 is a wasteful number, since it uses less digits than its factorization.

1908144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1908144 is about 1381.3558556722. The cubic root of 1908144 is about 124.0329430336.

The spelling of 1908144 in words is "one million, nine hundred eight thousand, one hundred forty-four".