13065600 has 96 divisors (see below), whose sum is σ = 43066440. Its totient is φ = 3481600.

The previous prime is 13065581. The next prime is 13065607. The reversal of 13065600 is 656031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13065607) 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, 8920 + ... + 10280.

Almost surely, 2^13065600 is an apocalyptic number.

13065600 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 13065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533220).

13065600 is an abundant number, since it is smaller than the sum of its proper divisors (30000840).

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

13065600 is a wasteful number, since it uses less digits than its factorization.

13065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13065600 is about 3614.6369112264. The cubic root of 13065600 is about 235.5283119211.

The spelling of 13065600 in words is "thirteen million, sixty-five thousand, six hundred".