1914144 has 48 divisors (see below), whose sum is σ = 5096448. Its totient is φ = 628992.

The previous prime is 1914139. The next prime is 1914163. The reversal of 1914144 is 4414191.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12114 + ... + 12270.

It is an arithmetic number, because the mean of its divisors is an integer number (106176).

2^1914144 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 1914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548224).

1914144 is an abundant number, since it is smaller than the sum of its proper divisors (3182304).

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

1914144 is a wasteful number, since it uses less digits than its factorization.

1914144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

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

The square root of 1914144 is about 1383.5259303678. The cubic root of 1914144 is about 124.1628107647.

The spelling of 1914144 in words is "one million, nine hundred fourteen thousand, one hundred forty-four".