1993824 has 144 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 532224.

The previous prime is 1993763. The next prime is 1993829. The reversal of 1993824 is 4283991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (1993829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46347 + ... + 46389.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2^1993824 is an apocalyptic number.

1993824 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 1993824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

1993824 is an abundant number, since it is smaller than the sum of its proper divisors (4925088).

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

1993824 is a wasteful number, since it uses less digits than its factorization.

1993824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1993824 is about 1412.0283283277. The cubic root of 1993824 is about 125.8622833945.

The spelling of 1993824 in words is "one million, nine hundred ninety-three thousand, eight hundred twenty-four".