13820064 has 48 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 4582400.

The previous prime is 13820047. The next prime is 13820083. The reversal of 13820064 is 46002831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 34264 + ... + 34664.

It is an arithmetic number, because the mean of its divisors is an integer number (759780).

Almost surely, 2^13820064 is an apocalyptic number.

It is an amenable number.

13820064 is an abundant number, since it is smaller than the sum of its proper divisors (22649376).

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

13820064 is a wasteful number, since it uses less digits than its factorization.

13820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13820064 is about 3717.5346669534. The cubic root of 13820064 is about 239.9772200601.

Adding to 13820064 its reverse (46002831), we get a palindrome (59822895).

It can be divided in two parts, 138 and 20064, that added together give a palindrome (20202).

The spelling of 13820064 in words is "thirteen million, eight hundred twenty thousand, sixty-four".