32965768 has 32 divisors (see below), whose sum is σ = 68103360. Its totient is φ = 14834880.

The previous prime is 32965747. The next prime is 32965787. The reversal of 32965768 is 86756923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7246 + ... + 10882.

It is an arithmetic number, because the mean of its divisors is an integer number (2128230).

Almost surely, 2^32965768 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 32965768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34051680).

32965768 is an abundant number, since it is smaller than the sum of its proper divisors (35137592).

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

32965768 is a wasteful number, since it uses less digits than its factorization.

32965768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3753 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 32965768 is about 5741.5823602906. The cubic root of 32965768 is about 320.6424852182.

It can be divided in two parts, 32965 and 768, that added together give a palindrome (33733).

The spelling of 32965768 in words is "thirty-two million, nine hundred sixty-five thousand, seven hundred sixty-eight".