32680800 has 288 divisors, whose sum is σ = 126554400. Its totient is φ = 8110080.

The previous prime is 32680771. The next prime is 32680801. The reversal of 32680800 is 808623.

It is a tau number, because it is divible by the number of its divisors (288).

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 (32680801) 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 47 ways as a sum of consecutive naturals, for example, 367156 + ... + 367244.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 2^32680800 is an apocalyptic number.

32680800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277200).

32680800 is an abundant number, since it is smaller than the sum of its proper divisors (93873600).

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

32680800 is a wasteful number, since it uses less digits than its factorization.

32680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32680800 is about 5716.7123418972. The cubic root of 32680800 is about 319.7158936692.

The spelling of 32680800 in words is "thirty-two million, six hundred eighty thousand, eight hundred".