13648248 has 24 divisors (see below), whose sum is σ = 36964200. Its totient is φ = 4549392.

The previous prime is 13648247. The next prime is 13648249. The reversal of 13648248 is 84284631.

13648248 is a `hidden beast` number, since 1 + 3 + 648 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13648247) and next prime (13648249).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13648247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94708 + ... + 94851.

It is an arithmetic number, because the mean of its divisors is an integer number (1540175).

Almost surely, 2^13648248 is an apocalyptic number.

13648248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13648248 is an abundant number, since it is smaller than the sum of its proper divisors (23315952).

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

13648248 is a wasteful number, since it uses less digits than its factorization.

13648248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189571 (or 189564 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13648248 is about 3694.3535293743. The cubic root of 13648248 is about 238.9785757188.

It can be divided in two parts, 136 and 48248, that added together give a palindrome (48384).

The spelling of 13648248 in words is "thirteen million, six hundred forty-eight thousand, two hundred forty-eight".