13891824 has 80 divisors (see below), whose sum is σ = 40468640. Its totient is φ = 4618944.

The previous prime is 13891819. The next prime is 13891853. The reversal of 13891824 is 42819831.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34794 + ... + 35190.

It is an arithmetic number, because the mean of its divisors is an integer number (505858).

Almost surely, 2^13891824 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 13891824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234320).

13891824 is an abundant number, since it is smaller than the sum of its proper divisors (26576816).

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

13891824 is an frugal number, since it uses more digits than its factorization.

13891824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13891824 is about 3727.1737281753. The cubic root of 13891824 is about 240.3918598429.

The spelling of 13891824 in words is "thirteen million, eight hundred ninety-one thousand, eight hundred twenty-four".