12064032 has 48 divisors (see below), whose sum is σ = 35189280. Its totient is φ = 4021056.

The previous prime is 12064021. The next prime is 12064051. The reversal of 12064032 is 23046021.

It is a happy number.

12064032 is a `hidden beast` number, since 1 + 20 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 12063996 and 12064014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6118 + ... + 7845.

It is an arithmetic number, because the mean of its divisors is an integer number (733110).

Almost surely, 2^12064032 is an apocalyptic number.

12064032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12064032 is an abundant number, since it is smaller than the sum of its proper divisors (23125248).

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

12064032 is a wasteful number, since it uses less digits than its factorization.

12064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13982 (or 13968 counting only the distinct ones).

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

The square root of 12064032 is about 3473.3315419061. The cubic root of 12064032 is about 229.3493393672.

The spelling of 12064032 in words is "twelve million, sixty-four thousand, thirty-two".