13835640 has 192 divisors, whose sum is σ = 52284960. Its totient is φ = 2903040.

The previous prime is 13835623. The next prime is 13835651. The reversal of 13835640 is 4653831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13835598 and 13835607.

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 47 ways as a sum of consecutive naturals, for example, 76350 + ... + 76530.

Almost surely, 2^13835640 is an apocalyptic number.

13835640 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 13835640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

13835640 is an abundant number, since it is smaller than the sum of its proper divisors (38449320).

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

13835640 is a wasteful number, since it uses less digits than its factorization.

13835640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13835640 is about 3719.6290137593. The cubic root of 13835640 is about 240.0673422136.

It can be divided in two parts, 138 and 35640, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 13835640 in words is "thirteen million, eight hundred thirty-five thousand, six hundred forty".