13353840 has 120 divisors (see below), whose sum is σ = 47528208. Its totient is φ = 3348480.

The previous prime is 13353829. The next prime is 13353859. The reversal of 13353840 is 4835331.

It is a happy number.

13353840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11695 + ... + 12785.

Almost surely, 2^13353840 is an apocalyptic number.

13353840 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 13353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764104).

13353840 is an abundant number, since it is smaller than the sum of its proper divisors (34174368).

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

13353840 is a wasteful number, since it uses less digits than its factorization.

13353840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13353840 is about 3654.2906288362. The cubic root of 13353840 is about 237.2477247383.

The spelling of 13353840 in words is "thirteen million, three hundred fifty-three thousand, eight hundred forty".