13061600 has 72 divisors (see below), whose sum is σ = 33044760. Its totient is φ = 5035520.

The previous prime is 13061599. The next prime is 13061611. The reversal of 13061600 is 616031.

13061600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22919 + ... + 23481.

It is an arithmetic number, because the mean of its divisors is an integer number (458955).

Almost surely, 2^13061600 is an apocalyptic number.

13061600 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 13061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522380).

13061600 is an abundant number, since it is smaller than the sum of its proper divisors (19983160).

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

13061600 is a wasteful number, since it uses less digits than its factorization.

13061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13061600 is about 3614.0835629520. The cubic root of 13061600 is about 235.5042740046.

Adding to 13061600 its reverse (616031), we get a palindrome (13677631).

The spelling of 13061600 in words is "thirteen million, sixty-one thousand, six hundred".