13635020 has 72 divisors (see below), whose sum is σ = 34865376. Its totient is φ = 4386816.

The previous prime is 13635007. The next prime is 13635023. The reversal of 13635020 is 2053631.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13634983 and 13635001.

It is not an unprimeable number, because it can be changed into a prime (13635023) 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, 40292 + ... + 40628.

Almost surely, 2^13635020 is an apocalyptic number.

13635020 is a gapful number since it is divisible by the number (10) 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 13635020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432688).

13635020 is an abundant number, since it is smaller than the sum of its proper divisors (21230356).

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

13635020 is a wasteful number, since it uses less digits than its factorization.

13635020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 13635020 is about 3692.5627956746. The cubic root of 13635020 is about 238.9013440615.

Adding to 13635020 its reverse (2053631), we get a palindrome (15688651).

The spelling of 13635020 in words is "thirteen million, six hundred thirty-five thousand, twenty".