32856768 has 168 divisors, whose sum is σ = 111739680. Its totient is φ = 9031680.

The previous prime is 32856763. The next prime is 32856781. The reversal of 32856768 is 86765823.

32856768 is a `hidden beast` number, since 3 + 28 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32856763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116788 + ... + 117068.

Almost surely, 2^32856768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55869840).

32856768 is an abundant number, since it is smaller than the sum of its proper divisors (78882912).

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

32856768 is a wasteful number, since it uses less digits than its factorization.

32856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 32856768 is about 5732.0823441399. The cubic root of 32856768 is about 320.2886977974.

The spelling of 32856768 in words is "thirty-two million, eight hundred fifty-six thousand, seven hundred sixty-eight".