13045800 has 96 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3271680.

The previous prime is 13045759. The next prime is 13045801. The reversal of 13045800 is 854031.

13045800 = 868² + 869² + ... + 884².

It is not an unprimeable number, because it can be changed into a prime (13045801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9561 + ... + 10839.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^13045800 is an apocalyptic number.

13045800 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 13045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

13045800 is an abundant number, since it is smaller than the sum of its proper divisors (29808600).

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

13045800 is a wasteful number, since it uses less digits than its factorization.

13045800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13045800 is about 3611.8970084984. The cubic root of 13045800 is about 235.4092762275.

Adding to 13045800 its reverse (854031), we get a palindrome (13899831).

The spelling of 13045800 in words is "thirteen million, forty-five thousand, eight hundred".