32282064 has 180 divisors, whose sum is σ = 103180896. Its totient is φ = 9751104.

The previous prime is 32282059. The next prime is 32282069. The reversal of 32282064 is 46028223.

It is an interprime number because it is at equal distance from previous prime (32282059) and next prime (32282069).

It is a super-2 number, since 2×32282064² = 2084263312200192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32282069) 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 35 ways as a sum of consecutive naturals, for example, 1403557 + ... + 1403579.

Almost surely, 2^32282064 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 32282064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51590448).

32282064 is an abundant number, since it is smaller than the sum of its proper divisors (70898832).

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

32282064 is a wasteful number, since it uses less digits than its factorization.

32282064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32282064 is about 5681.7307222360. The cubic root of 32282064 is about 318.4102927575.

The spelling of 32282064 in words is "thirty-two million, two hundred eighty-two thousand, sixty-four".