12733840 has 40 divisors (see below), whose sum is σ = 33837120. Its totient is φ = 4365696.

The previous prime is 12733837. The next prime is 12733841. The reversal of 12733840 is 4833721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12733840² = 324301362291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12733799 and 12733808.

It is not an unprimeable number, because it can be changed into a prime (12733841) 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, 10810 + ... + 11929.

It is an arithmetic number, because the mean of its divisors is an integer number (845928).

Almost surely, 2^12733840 is an apocalyptic number.

12733840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12733840 is an abundant number, since it is smaller than the sum of its proper divisors (21103280).

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

12733840 is a wasteful number, since it uses less digits than its factorization.

12733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22759 (or 22753 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 12733840 is about 3568.4506441872. The cubic root of 12733840 is about 233.5176955625.

The spelling of 12733840 in words is "twelve million, seven hundred thirty-three thousand, eight hundred forty".