12779536 has 120 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 4646400.

The previous prime is 12779531. The next prime is 12779539. The reversal of 12779536 is 63597721.

Its product of digits (79380) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (12779531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311676 + ... + 311716.

Almost surely, 2^12779536 is an apocalyptic number.

12779536 is a gapful number since it is divisible by the number (16) 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 12779536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

12779536 is an abundant number, since it is smaller than the sum of its proper divisors (20468336).

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

12779536 is a wasteful number, since it uses less digits than its factorization.

12779536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its digits is 79380, while the sum is 40.

The square root of 12779536 is about 3574.8476890631. The cubic root of 12779536 is about 233.7966919413.

The spelling of 12779536 in words is "twelve million, seven hundred seventy-nine thousand, five hundred thirty-six".