12693384 has 144 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3643200.

The previous prime is 12693379. The next prime is 12693413. The reversal of 12693384 is 48339621.

12693384 = 262² + 263² + ... + 382².

It is a super-2 number, since 2×12693384² = 322243994742912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270049 + ... + 270095.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 2^12693384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12693384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

12693384 is an abundant number, since it is smaller than the sum of its proper divisors (27142776).

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

12693384 is a wasteful number, since it uses less digits than its factorization.

12693384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12693384 is about 3562.7775681342. Note that the first 3 decimals coincide. The cubic root of 12693384 is about 233.2701343579.

It can be divided in two parts, 12 and 693384, that added together give a palindrome (693396).

The spelling of 12693384 in words is "twelve million, six hundred ninety-three thousand, three hundred eighty-four".