13879824 has 80 divisors (see below), whose sum is σ = 41485440. Its totient is φ = 3916800.

The previous prime is 13879819. The next prime is 13879829. The reversal of 13879824 is 42897831.

It is an interprime number because it is at equal distance from previous prime (13879819) and next prime (13879829).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13879829) 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, 33732 + ... + 34140.

It is an arithmetic number, because the mean of its divisors is an integer number (518568).

Almost surely, 2^13879824 is an apocalyptic number.

13879824 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 13879824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742720).

13879824 is an abundant number, since it is smaller than the sum of its proper divisors (27605616).

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

13879824 is a wasteful number, since it uses less digits than its factorization.

13879824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 13879824 is about 3725.5635815270. The cubic root of 13879824 is about 240.3226216748.

It can be divided in two parts, 1387 and 9824, that added together give a palindrome (11211).

The spelling of 13879824 in words is "thirteen million, eight hundred seventy-nine thousand, eight hundred twenty-four".