13645764 has 72 divisors (see below), whose sum is σ = 39862368. Its totient is φ = 3889920.

The previous prime is 13645763. The next prime is 13645783. The reversal of 13645764 is 46754631.

It is a happy number.

13645764 is a `hidden beast` number, since 1 + 3 + 645 + 7 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13645763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5719 + ... + 7745.

It is an arithmetic number, because the mean of its divisors is an integer number (553644).

Almost surely, 2^13645764 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 13645764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931184).

13645764 is an abundant number, since it is smaller than the sum of its proper divisors (26216604).

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

13645764 is a wasteful number, since it uses less digits than its factorization.

13645764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2060 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 13645764 is about 3694.0173253519. The cubic root of 13645764 is about 238.9640766955.

The spelling of 13645764 in words is "thirteen million, six hundred forty-five thousand, seven hundred sixty-four".