13824520 has 32 divisors (see below), whose sum is σ = 31696920. Its totient is φ = 5424640.

The previous prime is 13824511. The next prime is 13824529. The reversal of 13824520 is 2542831.

It is an interprime number because it is at equal distance from previous prime (13824511) and next prime (13824529).

It can be written as a sum of positive squares in 4 ways, for example, as 13704804 + 119716 = 3702^2 + 346^2 .

It is a super-2 number, since 2×13824520² = 382234706460800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141 + ... + 5380.

Almost surely, 2^13824520 is an apocalyptic number.

13824520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13824520 is an abundant number, since it is smaller than the sum of its proper divisors (17872400).

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

13824520 is a wasteful number, since it uses less digits than its factorization.

13824520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 13824520 is about 3718.1339405675. The cubic root of 13824520 is about 240.0030092215.

The spelling of 13824520 in words is "thirteen million, eight hundred twenty-four thousand, five hundred twenty".