12077568 has 60 divisors (see below), whose sum is σ = 34869978. Its totient is φ = 4024320.

The previous prime is 12077557. The next prime is 12077581. The reversal of 12077568 is 86577021.

12077568 is a `hidden beast` number, since 1 + 20 + 77 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8573184 + 3504384 = 2928^2 + 1872^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 3298 + ... + 5918.

Almost surely, 2^12077568 is an apocalyptic number.

12077568 is a gapful number since it is divisible by the number (18) 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 12077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434989).

12077568 is an abundant number, since it is smaller than the sum of its proper divisors (22792410).

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

12077568 is an equidigital number, since it uses as much as digits as its factorization.

12077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 12077568 is about 3475.2795571004. The cubic root of 12077568 is about 229.4350849481.

The spelling of 12077568 in words is "twelve million, seventy-seven thousand, five hundred sixty-eight".