13833690 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3354624.

The previous prime is 13833683. The next prime is 13833713. The reversal of 13833690 is 9633831.

It is a super-2 number, since 2×13833690² = 382741958032200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30586 + ... + 31034.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^13833690 is an apocalyptic number.

13833690 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 13833690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13833690 is an abundant number, since it is smaller than the sum of its proper divisors (22454310).

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

13833690 is a wasteful number, since it uses less digits than its factorization.

13833690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13833690 is about 3719.3668816077. The cubic root of 13833690 is about 240.0560632916.

The spelling of 13833690 in words is "thirteen million, eight hundred thirty-three thousand, six hundred ninety".