32817940 has 48 divisors (see below), whose sum is σ = 73684800. Its totient is φ = 12241152.

The previous prime is 32817923. The next prime is 32817947. The reversal of 32817940 is 4971823.

It is a junction number, because it is equal to n+sod(n) for n = 32817896 and 32817905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32817947) 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, 24816 + ... + 26104.

It is an arithmetic number, because the mean of its divisors is an integer number (1535100).

Almost surely, 2^32817940 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 32817940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36842400).

32817940 is an abundant number, since it is smaller than the sum of its proper divisors (40866860).

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

32817940 is a wasteful number, since it uses less digits than its factorization.

32817940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 32817940 is about 5728.6944411445. The cubic root of 32817940 is about 320.1624825884.

The spelling of 32817940 in words is "thirty-two million, eight hundred seventeen thousand, nine hundred forty".