32768216 has 32 divisors (see below), whose sum is σ = 66606960. Its totient is φ = 15023232.

The previous prime is 32768207. The next prime is 32768227. The reversal of 32768216 is 61286723.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15986 + ... + 17918.

Almost surely, 2^32768216 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 32768216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33303480).

32768216 is an abundant number, since it is smaller than the sum of its proper divisors (33838744).

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

32768216 is a wasteful number, since it uses less digits than its factorization.

32768216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2111 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 32768216 is about 5724.3528891919. The cubic root of 32768216 is about 320.0007031235. Note that the first 3 decimals are identical.

It can be divided in two parts, 32768 and 216, that multiplied together give a cube (7077888 = 192³).

The spelling of 32768216 in words is "thirty-two million, seven hundred sixty-eight thousand, two hundred sixteen".