13846248 has 64 divisors (see below), whose sum is σ = 41428800. Its totient is φ = 4259520.

The previous prime is 13846223. The next prime is 13846267. The reversal of 13846248 is 84264831.

13846248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (647325).

Almost surely, 2^13846248 is an apocalyptic number.

13846248 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 13846248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714400).

13846248 is an abundant number, since it is smaller than the sum of its proper divisors (27582552).

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

13846248 is a wasteful number, since it uses less digits than its factorization.

13846248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4949 counting only the distinct ones).

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

The square root of 13846248 is about 3721.0546891977. The cubic root of 13846248 is about 240.1286809927.

The spelling of 13846248 in words is "thirteen million, eight hundred forty-six thousand, two hundred forty-eight".