13802724 has 120 divisors (see below), whose sum is σ = 40554360. Its totient is φ = 4064256.

The previous prime is 13802713. The next prime is 13802749. The reversal of 13802724 is 42720831.

13802724 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 can be written as a sum of positive squares in 4 ways, for example, as 186624 + 13616100 = 432^2 + 3690^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122092 + ... + 122204.

It is an arithmetic number, because the mean of its divisors is an integer number (337953).

Almost surely, 2^13802724 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 13802724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277180).

13802724 is an abundant number, since it is smaller than the sum of its proper divisors (26751636).

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

13802724 is a wasteful number, since it uses less digits than its factorization.

13802724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13802724 is about 3715.2017441856. The cubic root of 13802724 is about 239.8768117802.

The spelling of 13802724 in words is "thirteen million, eight hundred two thousand, seven hundred twenty-four".