13829760 has 240 divisors, whose sum is σ = 55711890. Its totient is φ = 3161088.

The previous prime is 13829741. The next prime is 13829773. The reversal of 13829760 is 6792831.

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 1382976 = 3528^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×13829760³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1975677 + ... + 1975683.

Almost surely, 2^13829760 is an apocalyptic number.

13829760 is a gapful number since it is divisible by the number (10) 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 13829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855945).

13829760 is an abundant number, since it is smaller than the sum of its proper divisors (41882130).

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

13829760 is an frugal number, since it uses more digits than its factorization.

13829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13829760 is about 3718.8385283580. The cubic root of 13829760 is about 240.0333287048.

The spelling of 13829760 in words is "thirteen million, eight hundred twenty-nine thousand, seven hundred sixty".