13981248 has 168 divisors, whose sum is σ = 44378880. Its totient is φ = 4354560.

The previous prime is 13981243. The next prime is 13981273. The reversal of 13981248 is 84218931.

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 not an unprimeable number, because it can be changed into a prime (13981243) 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, 450993 + ... + 451023.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 2^13981248 is an apocalyptic number.

13981248 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 13981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

13981248 is an abundant number, since it is smaller than the sum of its proper divisors (30397632).

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

13981248 is an equidigital number, since it uses as much as digits as its factorization.

13981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13981248 is about 3739.1507057085. The cubic root of 13981248 is about 240.9065712241.

The spelling of 13981248 in words is "thirteen million, nine hundred eighty-one thousand, two hundred forty-eight".