13824264 has 64 divisors (see below), whose sum is σ = 37808640. Its totient is φ = 4193280.

The previous prime is 13824263. The next prime is 13824269. The reversal of 13824264 is 46242831.

It is a super-2 number, since 2×13824264² = 382220550283392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13824263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12102 + ... + 13194.

It is an arithmetic number, because the mean of its divisors is an integer number (590760).

Almost surely, 2^13824264 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 13824264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18904320).

13824264 is an abundant number, since it is smaller than the sum of its proper divisors (23984376).

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

13824264 is a wasteful number, since it uses less digits than its factorization.

13824264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 13824264 is about 3718.0995145370. The cubic root of 13824264 is about 240.0015277681.

It can be divided in two parts, 138242 and 64, that multiplied together give a palindrome (8847488).

The spelling of 13824264 in words is "thirteen million, eight hundred twenty-four thousand, two hundred sixty-four".