13793824 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 6204160.

The previous prime is 13793803. The next prime is 13793831. The reversal of 13793824 is 42839731.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 52317 + ... + 52579.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^13793824 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 13793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

13793824 is an abundant number, since it is smaller than the sum of its proper divisors (16143776).

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

13793824 is a wasteful number, since it uses less digits than its factorization.

13793824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 13793824 is about 3714.0037695188. The cubic root of 13793824 is about 239.8252431514.

It can be divided in two parts, 137 and 93824, that added together give a triangular number (93961 = T₄₃₃).

The spelling of 13793824 in words is "thirteen million, seven hundred ninety-three thousand, eight hundred twenty-four".