13835960 has 32 divisors (see below), whose sum is σ = 32963760. Its totient is φ = 5208576.

The previous prime is 13835953. The next prime is 13835989. The reversal of 13835960 is 6953831.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 13835960.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9494 + ... + 10853.

Almost surely, 2^13835960 is an apocalyptic number.

13835960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13835960 is an abundant number, since it is smaller than the sum of its proper divisors (19127800).

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

13835960 is a wasteful number, since it uses less digits than its factorization.

13835960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20375 (or 20371 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 13835960 is about 3719.6720285531. The cubic root of 13835960 is about 240.0691930124.

The spelling of 13835960 in words is "thirteen million, eight hundred thirty-five thousand, nine hundred sixty".