32775680 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 10690560.

The previous prime is 32775647. The next prime is 32775683. The reversal of 32775680 is 8657723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32775683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555491 + ... + 555549.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 2^32775680 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 32775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

32775680 is an abundant number, since it is smaller than the sum of its proper divisors (61504000).

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

32775680 is an equidigital number, since it uses as much as digits as its factorization.

32775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 32775680 is about 5725.0048034914. The cubic root of 32775680 is about 320.0249980471.

The spelling of 32775680 in words is "thirty-two million, seven hundred seventy-five thousand, six hundred eighty".