32107680 has 144 divisors (see below), whose sum is σ = 119587104. Its totient is φ = 7779840.

The previous prime is 32107643. The next prime is 32107681. The reversal of 32107680 is 8670123.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×32107680² = 2061806229964800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32107681) 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 23 ways as a sum of consecutive naturals, for example, 14827 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (830466).

Almost surely, 2^32107680 is an apocalyptic number.

32107680 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 32107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59793552).

32107680 is an abundant number, since it is smaller than the sum of its proper divisors (87479424).

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

32107680 is a wasteful number, since it uses less digits than its factorization.

32107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 32107680 is about 5666.3639134810. The cubic root of 32107680 is about 317.8359186747.

The spelling of 32107680 in words is "thirty-two million, one hundred seven thousand, six hundred eighty".