32678064 has 60 divisors (see below), whose sum is σ = 91913016. Its totient is φ = 10838016.

The previous prime is 32678053. The next prime is 32678069. The reversal of 32678064 is 46087623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32678069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36567 + ... + 37449.

Almost surely, 2^32678064 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 32678064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45956508).

32678064 is an abundant number, since it is smaller than the sum of its proper divisors (59234952).

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

32678064 is a wasteful number, since it uses less digits than its factorization.

32678064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 32678064 is about 5716.4730385090. The cubic root of 32678064 is about 319.7069713346.

The spelling of 32678064 in words is "thirty-two million, six hundred seventy-eight thousand, sixty-four".