32863968 has 120 divisors (see below), whose sum is σ = 100013760. Its totient is φ = 10575360.

The previous prime is 32863967. The next prime is 32863973. The reversal of 32863968 is 86936823.

32863968 is a `hidden beast` number, since 3 + 2 + 8 + 639 + 6 + 8 = 666.

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 (32863967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80148 + ... + 80556.

It is an arithmetic number, because the mean of its divisors is an integer number (833448).

Almost surely, 2^32863968 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 32863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50006880).

32863968 is an abundant number, since it is smaller than the sum of its proper divisors (67149792).

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

32863968 is a wasteful number, since it uses less digits than its factorization.

32863968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

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

The square root of 32863968 is about 5732.7103537507. The cubic root of 32863968 is about 320.3120913562.

The spelling of 32863968 in words is "thirty-two million, eight hundred sixty-three thousand, nine hundred sixty-eight".