13801248 has 72 divisors (see below), whose sum is σ = 39616668. Its totient is φ = 4557312.

The previous prime is 13801213. The next prime is 13801261. The reversal of 13801248 is 84210831.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 51984 = 3708^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49686 + ... + 49962.

Almost surely, 2^13801248 is an apocalyptic number.

13801248 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 13801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808334).

13801248 is an abundant number, since it is smaller than the sum of its proper divisors (25815420).

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

13801248 is a wasteful number, since it uses less digits than its factorization.

13801248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13801248 is about 3715.0030955573. The cubic root of 13801248 is about 239.8682610334.

It can be divided in two parts, 1380 and 1248, that added together give a triangular number (2628 = T₇₂).

The spelling of 13801248 in words is "thirteen million, eight hundred one thousand, two hundred forty-eight".