13056000 has 192 divisors, whose sum is σ = 45995040. Its totient is φ = 3276800.

The previous prime is 13055993. The next prime is 13056011. The reversal of 13056000 is 65031.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767992 + ... + 768008.

Almost surely, 2^13056000 is an apocalyptic number.

13056000 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 13056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

13056000 is an abundant number, since it is smaller than the sum of its proper divisors (32939040).

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

13056000 is an equidigital number, since it uses as much as digits as its factorization.

13056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13056000 is about 3613.3087330036. The cubic root of 13056000 is about 235.4706126753.

The spelling of 13056000 in words is "thirteen million, fifty-six thousand".