13648264 has 48 divisors (see below), whose sum is σ = 30605580. Its totient is φ = 5685120.

The previous prime is 13648249. The next prime is 13648267. The reversal of 13648264 is 46284631.

It can be written as a sum of positive squares in 2 ways, for example, as 12545764 + 1102500 = 3542^2 + 1050^2 .

It is a super-2 number, since 2×13648264² = 372550220427392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13648267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14034 + ... + 14974.

Almost surely, 2^13648264 is an apocalyptic number.

13648264 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 13648264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302790).

13648264 is an abundant number, since it is smaller than the sum of its proper divisors (16957316).

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

13648264 is a wasteful number, since it uses less digits than its factorization.

13648264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 13648264 is about 3694.3556948404. The cubic root of 13648264 is about 238.9786691046.

It can be divided in two parts, 136 and 48264, that added together give a square (48400 = 220²).

The spelling of 13648264 in words is "thirteen million, six hundred forty-eight thousand, two hundred sixty-four".