13435984 has 40 divisors (see below), whose sum is σ = 28176768. Its totient is φ = 6182400.

The previous prime is 13435963. The next prime is 13435997. The reversal of 13435984 is 48953431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12259 + ... + 13309.

Almost surely, 2^13435984 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 13435984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088384).

13435984 is an abundant number, since it is smaller than the sum of its proper divisors (14740784).

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

13435984 is a wasteful number, since it uses less digits than its factorization.

13435984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 13435984 is about 3665.5127881376. The cubic root of 13435984 is about 237.7331944116.

The spelling of 13435984 in words is "thirteen million, four hundred thirty-five thousand, nine hundred eighty-four".