13645896 has 96 divisors (see below), whose sum is σ = 38814720. Its totient is φ = 3991680.

The previous prime is 13645847. The next prime is 13645897. The reversal of 13645896 is 69854631.

13645896 = 274² + 275² + ... + 394².

Its product of digits (155520) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (13645897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107385 + ... + 107511.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 2^13645896 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 13645896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407360).

13645896 is an abundant number, since it is smaller than the sum of its proper divisors (25168824).

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

13645896 is a wasteful number, since it uses less digits than its factorization.

13645896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 13645896 is about 3694.0351920359. The cubic root of 13645896 is about 238.9648472193.

It can be divided in two parts, 13645 and 896, that added together give a palindrome (14541).

The spelling of 13645896 in words is "thirteen million, six hundred forty-five thousand, eight hundred ninety-six".