12692064 has 192 divisors, whose sum is σ = 44416512. Its totient is φ = 3072000.

The previous prime is 12692059. The next prime is 12692089. The reversal of 12692064 is 46029621.

It is a super-2 number, since 2×12692064² = 322176977160192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125614 + ... + 125714.

It is an arithmetic number, because the mean of its divisors is an integer number (231336).

Almost surely, 2^12692064 is an apocalyptic number.

12692064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256).

12692064 is an abundant number, since it is smaller than the sum of its proper divisors (31724448).

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

12692064 is a wasteful number, since it uses less digits than its factorization.

12692064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 12692064 is about 3562.5923145934. The cubic root of 12692064 is about 233.2620480652.

It can be divided in two parts, 1269 and 2064, that added together give a palindrome (3333).

The spelling of 12692064 in words is "twelve million, six hundred ninety-two thousand, sixty-four".