13835040 has 192 divisors, whose sum is σ = 48263040. Its totient is φ = 3317760.

The previous prime is 13835039. The next prime is 13835047. The reversal of 13835040 is 4053831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13835040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337420 + ... + 337460.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^13835040 is an apocalyptic number.

13835040 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 13835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

13835040 is an abundant number, since it is smaller than the sum of its proper divisors (34428000).

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

13835040 is a wasteful number, since it uses less digits than its factorization.

13835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13835040 is about 3719.5483596802. The cubic root of 13835040 is about 240.0638718890.

Adding to 13835040 its reverse (4053831), we get a palindrome (17888871).

The spelling of 13835040 in words is "thirteen million, eight hundred thirty-five thousand, forty".