12032640 has 96 divisors (see below), whose sum is σ = 41570100. Its totient is φ = 3207168.

The previous prime is 12032623. The next prime is 12032687. The reversal of 12032640 is 4623021.

It is a happy number.

12032640 is a `hidden beast` number, since 1 + 20 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 254016 = 3432^2 + 504^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 4716 + ... + 6804.

Almost surely, 2^12032640 is an apocalyptic number.

12032640 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 12032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785050).

12032640 is an abundant number, since it is smaller than the sum of its proper divisors (29537460).

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

12032640 is a wasteful number, since it uses less digits than its factorization.

12032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12032640 is about 3468.8095940827. The cubic root of 12032640 is about 229.1502354427.

Adding to 12032640 its reverse (4623021), we get a palindrome (16655661).

The spelling of 12032640 in words is "twelve million, thirty-two thousand, six hundred forty".