13824810 has 32 divisors (see below), whose sum is σ = 36866880. Its totient is φ = 3686544.

The previous prime is 13824809. The next prime is 13824841. The reversal of 13824810 is 1842831.

It is a super-2 number, since 2×13824810² = 382250743072200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25332 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (1152090).

Almost surely, 2^13824810 is an apocalyptic number.

13824810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13824810 is an abundant number, since it is smaller than the sum of its proper divisors (23042070).

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

13824810 is a wasteful number, since it uses less digits than its factorization.

13824810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51219 (or 51213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13824810 is about 3718.1729384202. The cubic root of 13824810 is about 240.0046874085.

The spelling of 13824810 in words is "thirteen million, eight hundred twenty-four thousand, eight hundred ten".