13032000 has 168 divisors, whose sum is σ = 46875192. Its totient is φ = 3456000.

The previous prime is 13031999. The next prime is 13032017. The reversal of 13032000 is 23031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 9437184 = 1896^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71910 + ... + 72090.

It is an arithmetic number, because the mean of its divisors is an integer number (279019).

Almost surely, 2^13032000 is an apocalyptic number.

13032000 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 13032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23437596).

13032000 is an abundant number, since it is smaller than the sum of its proper divisors (33843192).

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

13032000 is a wasteful number, since it uses less digits than its factorization.

13032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13032000 is about 3609.9861495579. The cubic root of 13032000 is about 235.3262407123.

Adding to 13032000 its reverse (23031), we get a palindrome (13055031).

The spelling of 13032000 in words is "thirteen million, thirty-two thousand".