32945760 has 144 divisors (see below), whose sum is σ = 113926176. Its totient is φ = 8669184.

The previous prime is 32945743. The next prime is 32945767. The reversal of 32945760 is 6754923.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32945767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197197 + ... + 197363.

It is an arithmetic number, because the mean of its divisors is an integer number (791154).

Almost surely, 2^32945760 is an apocalyptic number.

32945760 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 32945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963088).

32945760 is an abundant number, since it is smaller than the sum of its proper divisors (80980416).

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

32945760 is a wasteful number, since it uses less digits than its factorization.

32945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 32945760 is about 5739.8397190166. The cubic root of 32945760 is about 320.5776026286.

The spelling of 32945760 in words is "thirty-two million, nine hundred forty-five thousand, seven hundred sixty".