13820424 has 32 divisors (see below), whose sum is σ = 36054720. Its totient is φ = 4406336.

The previous prime is 13820407. The next prime is 13820431. The reversal of 13820424 is 42402831.

13820424 = T₂₅₇ + T₂₅₈ + ... + T₄₆₃.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13820394 and 13820403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11967 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (1126710).

Almost surely, 2^13820424 is an apocalyptic number.

It is an amenable number.

13820424 is an abundant number, since it is smaller than the sum of its proper divisors (22234296).

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

13820424 is a wasteful number, since it uses less digits than its factorization.

13820424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25065 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13820424 is about 3717.5830858234. The cubic root of 13820424 is about 239.9793037709.

The spelling of 13820424 in words is "thirteen million, eight hundred twenty thousand, four hundred twenty-four".