12064896 has 64 divisors (see below), whose sum is σ = 35618400. Its totient is φ = 4020480.

The previous prime is 12064879. The next prime is 12064901. The reversal of 12064896 is 69846021.

12064896 is a `hidden beast` number, since 1 + 2 + 0 + 648 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12064896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1711 + ... + 5201.

Almost surely, 2^12064896 is an apocalyptic number.

12064896 is a gapful number since it is divisible by the number (16) 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 12064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809200).

12064896 is an abundant number, since it is smaller than the sum of its proper divisors (23553504).

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

12064896 is an equidigital number, since it uses as much as digits as its factorization.

12064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12064896 is about 3473.4559159431. The cubic root of 12064896 is about 229.3548144051.

The spelling of 12064896 in words is "twelve million, sixty-four thousand, eight hundred ninety-six".