12790032 has 80 divisors (see below), whose sum is σ = 34706112. Its totient is φ = 4055040.

The previous prime is 12790027. The next prime is 12790039. The reversal of 12790032 is 23009721.

It is a super-2 number, since 2×12790032² = 327169837122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12789984 and 12790011.

It is not an unprimeable number, because it can be changed into a prime (12790039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131808 + ... + 131904.

Almost surely, 2^12790032 is an apocalyptic number.

12790032 is a gapful number since it is divisible by the number (12) 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 12790032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353056).

12790032 is an abundant number, since it is smaller than the sum of its proper divisors (21916080).

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

12790032 is a wasteful number, since it uses less digits than its factorization.

12790032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 12790032 is about 3576.3154223306. The cubic root of 12790032 is about 233.8606811861.

Adding to 12790032 its reverse (23009721), we get a palindrome (35799753).

The spelling of 12790032 in words is "twelve million, seven hundred ninety thousand, thirty-two".