13435320 has 64 divisors (see below), whose sum is σ = 40734720. Its totient is φ = 3544704.

The previous prime is 13435313. The next prime is 13435327. The reversal of 13435320 is 2353431.

It is an interprime number because it is at equal distance from previous prime (13435313) and next prime (13435327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11817 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^13435320 is an apocalyptic number.

13435320 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 13435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360).

13435320 is an abundant number, since it is smaller than the sum of its proper divisors (27299400).

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

13435320 is a wasteful number, since it uses less digits than its factorization.

13435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 13435320 is about 3665.4222130609. The cubic root of 13435320 is about 237.7292781262.

Adding to 13435320 its reverse (2353431), we get a palindrome (15788751).

The spelling of 13435320 in words is "thirteen million, four hundred thirty-five thousand, three hundred twenty".