12613632 has 48 divisors (see below), whose sum is σ = 33644520. Its totient is φ = 4202496.

The previous prime is 12613631. The next prime is 12613639. The reversal of 12613632 is 23631621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12613631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5118 + ... + 7170.

Almost surely, 2^12613632 is an apocalyptic number.

12613632 is a gapful number since it is divisible by the number (12) 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 12613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822260).

12613632 is an abundant number, since it is smaller than the sum of its proper divisors (21030888).

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

12613632 is an equidigital number, since it uses as much as digits as its factorization.

12613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2058 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 12613632 is about 3551.5675412415. The cubic root of 12613632 is about 232.7805654470.

The spelling of 12613632 in words is "twelve million, six hundred thirteen thousand, six hundred thirty-two".