12064320 has 168 divisors, whose sum is σ = 42793920. Its totient is φ = 3118080.

The previous prime is 12064307. The next prime is 12064321. The reversal of 12064320 is 2346021.

It is a happy number.

12064320 is a `hidden beast` number, since 1 + 2 + 0 + 643 + 20 = 666.

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 = 12064293 and 12064302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12064321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169885 + ... + 169955.

Almost surely, 2^12064320 is an apocalyptic number.

12064320 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 12064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

12064320 is an abundant number, since it is smaller than the sum of its proper divisors (30729600).

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

12064320 is a wasteful number, since it uses less digits than its factorization.

12064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

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

The square root of 12064320 is about 3473.3730004133. The cubic root of 12064320 is about 229.3511644089.

The spelling of 12064320 in words is "twelve million, sixty-four thousand, three hundred twenty".