13635990 has 48 divisors (see below), whose sum is σ = 35762688. Its totient is φ = 3604608.

The previous prime is 13635971. The next prime is 13635991. The reversal of 13635990 is 9953631.

13635990 is a `hidden beast` number, since 1 + 3 + 63 + 599 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13635991) 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, 10834 + ... + 12026.

It is an arithmetic number, because the mean of its divisors is an integer number (745056).

Almost surely, 2^13635990 is an apocalyptic number.

13635990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13635990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881344).

13635990 is an abundant number, since it is smaller than the sum of its proper divisors (22126698).

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

13635990 is a wasteful number, since it uses less digits than its factorization.

13635990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13635990 is about 3692.6941384306. The cubic root of 13635990 is about 238.9070091016.

The spelling of 13635990 in words is "thirteen million, six hundred thirty-five thousand, nine hundred ninety".