13633830 has 192 divisors, whose sum is σ = 45826560. Its totient is φ = 2737152.

The previous prime is 13633819. The next prime is 13633843. The reversal of 13633830 is 3833631.

13633830 is a nontrivial binomial coefficient, being equal to C(136, 4).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 13633794 and 13633803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203457 + ... + 203523.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 2^13633830 is an apocalyptic number.

13633830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13633830 is the 3015-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13633830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

13633830 is an abundant number, since it is smaller than the sum of its proper divisors (32192730).

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

13633830 is a wasteful number, since it uses less digits than its factorization.

13633830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13633830 is about 3692.4016574582. The cubic root of 13633830 is about 238.8943937998.

The spelling of 13633830 in words is "thirteen million, six hundred thirty-three thousand, eight hundred thirty".