1993344 has 64 divisors (see below), whose sum is σ = 5508000. Its totient is φ = 637952.

The previous prime is 1993339. The next prime is 1993349. The reversal of 1993344 is 4433991.

1993344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1993339) and next prime (1993349).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11047 + ... + 11225.

2^1993344 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 1993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754000).

1993344 is an abundant number, since it is smaller than the sum of its proper divisors (3514656).

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

1993344 is a wasteful number, since it uses less digits than its factorization.

1993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 1993344 is about 1411.8583498354. The cubic root of 1993344 is about 125.8521824119.

It can be divided in two parts, 1 and 993344, that added together give a triangular number (993345 = T₁₄₀₉).

The spelling of 1993344 in words is "one million, nine hundred ninety-three thousand, three hundred forty-four".