12663552 has 72 divisors (see below), whose sum is σ = 36792000. Its totient is φ = 3834880.

The previous prime is 12663493. The next prime is 12663569. The reversal of 12663552 is 25536621.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7699 + ... + 9197.

It is an arithmetic number, because the mean of its divisors is an integer number (511000).

Almost surely, 2^12663552 is an apocalyptic number.

12663552 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 12663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396000).

12663552 is an abundant number, since it is smaller than the sum of its proper divisors (24128448).

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

12663552 is a wasteful number, since it uses less digits than its factorization.

12663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1515 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 12663552 is about 3558.5884842167. The cubic root of 12663552 is about 233.0872471311.

It can be divided in two parts, 12 and 663552, that multiplied together give a 5-th power (7962624 = 24⁵).

The spelling of 12663552 in words is "twelve million, six hundred sixty-three thousand, five hundred fifty-two".