13353984 has 220 divisors, whose sum is σ = 47555904. Its totient is φ = 3649536.

The previous prime is 13353983. The next prime is 13354013. The reversal of 13353984 is 48935331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580597 + ... + 580619.

Almost surely, 2^13353984 is an apocalyptic number.

13353984 is a gapful number since it is divisible by the number (14) 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 13353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777952).

13353984 is an abundant number, since it is smaller than the sum of its proper divisors (34201920).

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

13353984 is an equidigital number, since it uses as much as digits as its factorization.

13353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13353984 is about 3654.3103316495. The cubic root of 13353984 is about 237.2485775154.

The spelling of 13353984 in words is "thirteen million, three hundred fifty-three thousand, nine hundred eighty-four".