13465984 has 96 divisors (see below), whose sum is σ = 33139800. Its totient is φ = 5419008.

The previous prime is 13465979. The next prime is 13465993. The reversal of 13465984 is 48956431.

Its product of digits (103680) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119112 + ... + 119224.

Almost surely, 2^13465984 is an apocalyptic number.

13465984 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 13465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569900).

13465984 is an abundant number, since it is smaller than the sum of its proper divisors (19673816).

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

13465984 is a wasteful number, since it uses less digits than its factorization.

13465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 13465984 is about 3669.6027032909. The cubic root of 13465984 is about 237.9100005732.

The spelling of 13465984 in words is "thirteen million, four hundred sixty-five thousand, nine hundred eighty-four".