32677040 has 80 divisors (see below), whose sum is σ = 84208896. Its totient is φ = 11692800.

The previous prime is 32677037. The next prime is 32677049. The reversal of 32677040 is 4077623.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 32676994 and 32677012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32677049) 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 15 ways as a sum of consecutive naturals, for example, 62219 + ... + 62741.

Almost surely, 2^32677040 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 32677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42104448).

32677040 is an abundant number, since it is smaller than the sum of its proper divisors (51531856).

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

32677040 is a wasteful number, since it uses less digits than its factorization.

32677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 32677040 is about 5716.3834720914. The cubic root of 32677040 is about 319.7036318532.

The spelling of 32677040 in words is "thirty-two million, six hundred seventy-seven thousand, forty".