12849564 has 108 divisors (see below), whose sum is σ = 38498712. Its totient is φ = 3306240.

The previous prime is 12849541. The next prime is 12849601. The reversal of 12849564 is 46594821.

It is a super-2 number, since 2×12849564² = 330222589980192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313384 + ... + 313424.

Almost surely, 2^12849564 is an apocalyptic number.

12849564 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 12849564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249356).

12849564 is an abundant number, since it is smaller than the sum of its proper divisors (25649148).

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

12849564 is a wasteful number, since it uses less digits than its factorization.

12849564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 12849564 is about 3584.6288510807. The cubic root of 12849564 is about 234.2229593827. Note that the first 3 decimals are identical.

Multiplying 12849564 by its sum of digits (39), we get a square (501132996 = 22386²).

12849564 divided by its sum of digits (39) gives a square (329476 = 574²).

The spelling of 12849564 in words is "twelve million, eight hundred forty-nine thousand, five hundred sixty-four".