32680032 has 96 divisors (see below), whose sum is σ = 106977024. Its totient is φ = 8486400.

The previous prime is 32680031. The next prime is 32680049. The reversal of 32680032 is 23008623.

32680032 = 689² + 690² + ... + 751².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32679984 and 32680011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32680031) 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 15 ways as a sum of consecutive naturals, for example, 5182 + ... + 9602.

It is an arithmetic number, because the mean of its divisors is an integer number (1114344).

Almost surely, 2^32680032 is an apocalyptic number.

32680032 is a gapful number since it is divisible by the number (32) 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 32680032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53488512).

32680032 is an abundant number, since it is smaller than the sum of its proper divisors (74296992).

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

32680032 is a wasteful number, since it uses less digits than its factorization.

32680032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 32680032 is about 5716.6451700276. The cubic root of 32680032 is about 319.7133892045.

Adding to 32680032 its reverse (23008623), we get a palindrome (55688655).

The spelling of 32680032 in words is "thirty-two million, six hundred eighty thousand, thirty-two".