13041600 has 336 divisors, whose sum is σ = 52913280. Its totient is φ = 2764800.

The previous prime is 13041577. The next prime is 13041631. The reversal of 13041600 is 614031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13041600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686391 + ... + 686409.

It is an arithmetic number, because the mean of its divisors is an integer number (157480).

Almost surely, 2^13041600 is an apocalyptic number.

13041600 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 13041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456640).

13041600 is an abundant number, since it is smaller than the sum of its proper divisors (39871680).

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

13041600 is a wasteful number, since it uses less digits than its factorization.

13041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13041600 is about 3611.3155497685. The cubic root of 13041600 is about 235.3840107504.

Adding to 13041600 its reverse (614031), we get a palindrome (13655631).

The spelling of 13041600 in words is "thirteen million, forty-one thousand, six hundred".