32683968 has 84 divisors (see below), whose sum is σ = 94503240. Its totient is φ = 10799616.

The previous prime is 32683961. The next prime is 32683969. The reversal of 32683968 is 86938623.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32683961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102946 + ... + 103262.

Almost surely, 2^32683968 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 32683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47251620).

32683968 is an abundant number, since it is smaller than the sum of its proper divisors (61819272).

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

32683968 is a wasteful number, since it uses less digits than its factorization.

32683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 32683968 is about 5716.9894175169. The cubic root of 32683968 is about 319.7262241714.

The spelling of 32683968 in words is "thirty-two million, six hundred eighty-three thousand, nine hundred sixty-eight".