13866048 has 168 divisors, whose sum is σ = 48077120. Its totient is φ = 3732480.

The previous prime is 13866043. The next prime is 13866091. The reversal of 13866048 is 84066831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (13866043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76518 + ... + 76698.

Almost surely, 2^13866048 is an apocalyptic number.

13866048 is a gapful number since it is divisible by the number (18) 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 13866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24038560).

13866048 is an abundant number, since it is smaller than the sum of its proper divisors (34211072).

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

13866048 is a wasteful number, since it uses less digits than its factorization.

13866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13866048 is about 3723.7142747531. The cubic root of 13866048 is about 240.2430870364.

Subtracting from 13866048 its product of nonzero digits (27648), we obtain a square (13838400 = 3720²).

The spelling of 13866048 in words is "thirteen million, eight hundred sixty-six thousand, forty-eight".