13822920 has 64 divisors (see below), whose sum is σ = 46080000. Its totient is φ = 3685824.

The previous prime is 13822901. The next prime is 13822927. The reversal of 13822920 is 2922831.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13822927) by changing a digit.

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, 5320 + ... + 7479.

It is an arithmetic number, because the mean of its divisors is an integer number (720000).

Almost surely, 2^13822920 is an apocalyptic number.

13822920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13822920 is an abundant number, since it is smaller than the sum of its proper divisors (32257080).

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

13822920 is a wasteful number, since it uses less digits than its factorization.

13822920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13822920 is about 3717.9187726469. The cubic root of 13822920 is about 239.9937498372.

The spelling of 13822920 in words is "thirteen million, eight hundred twenty-two thousand, nine hundred twenty".