13361600 has 84 divisors (see below), whose sum is σ = 37606224. Its totient is φ = 4577280.

The previous prime is 13361591. The next prime is 13361603. The reversal of 13361600 is 616331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13361603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10604 + ... + 11796.

Almost surely, 2^13361600 is an apocalyptic number.

13361600 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 13361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803112).

13361600 is an abundant number, since it is smaller than the sum of its proper divisors (24244624).

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

13361600 is a wasteful number, since it uses less digits than its factorization.

13361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 13361600 is about 3655.3522402089. The cubic root of 13361600 is about 237.2936712187.

Adding to 13361600 its reverse (616331), we get a palindrome (13977931).

The spelling of 13361600 in words is "thirteen million, three hundred sixty-one thousand, six hundred".