13800248 has 64 divisors (see below), whose sum is σ = 33073920. Its totient is φ = 5241600.

The previous prime is 13800221. The next prime is 13800307. The reversal of 13800248 is 84200831.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26228 + ... + 26748.

It is an arithmetic number, because the mean of its divisors is an integer number (516780).

Almost surely, 2^13800248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13800248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536960).

13800248 is an abundant number, since it is smaller than the sum of its proper divisors (19273672).

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

13800248 is a wasteful number, since it uses less digits than its factorization.

13800248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13800248 is about 3714.8685037293. The cubic root of 13800248 is about 239.8624674981.

The spelling of 13800248 in words is "thirteen million, eight hundred thousand, two hundred forty-eight".