13733880 has 64 divisors (see below), whose sum is σ = 41484960. Its totient is φ = 3637248.

The previous prime is 13733873. The next prime is 13733897. The reversal of 13733880 is 8833731.

It is a congruent number.

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, 22864 + ... + 23456.

Almost surely, 2^13733880 is an apocalyptic number.

13733880 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 13733880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742480).

13733880 is an abundant number, since it is smaller than the sum of its proper divisors (27751080).

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

13733880 is a wasteful number, since it uses less digits than its factorization.

13733880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13733880 is about 3705.9249857492. The cubic root of 13733880 is about 239.4773348031.

It can be divided in two parts, 1373 and 3880, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 13733880 in words is "thirteen million, seven hundred thirty-three thousand, eight hundred eighty".