1926144 has 132 divisors (see below), whose sum is σ = 6386640. Its totient is φ = 552960.

The previous prime is 1926097. The next prime is 1926149. The reversal of 1926144 is 4416291.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is not an unprimeable number, because it can be changed into a prime (1926149) 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, 101367 + ... + 101385.

2^1926144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193320).

1926144 is an abundant number, since it is smaller than the sum of its proper divisors (4460496).

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

1926144 is a wasteful number, since it uses less digits than its factorization.

1926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1926144 is about 1387.8559003009. The cubic root of 1926144 is about 124.4217343290.

It can be divided in two parts, 192 and 6144, that added together give a palindrome (6336).

The spelling of 1926144 in words is "one million, nine hundred twenty-six thousand, one hundred forty-four".