13634040 has 64 divisors (see below), whose sum is σ = 46748160. Its totient is φ = 3116160.

The previous prime is 13634011. The next prime is 13634063. The reversal of 13634040 is 4043631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13633998 and 13634016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7276 + ... + 8955.

It is an arithmetic number, because the mean of its divisors is an integer number (730440).

Almost surely, 2^13634040 is an apocalyptic number.

13634040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13634040 is an abundant number, since it is smaller than the sum of its proper divisors (33114120).

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

13634040 is a wasteful number, since it uses less digits than its factorization.

13634040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252 (or 16248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13634040 is about 3692.4300941250. The cubic root of 13634040 is about 238.8956203459.

Adding to 13634040 its reverse (4043631), we get a palindrome (17677671).

The spelling of 13634040 in words is "thirteen million, six hundred thirty-four thousand, forty".