32959040 has 56 divisors (see below), whose sum is σ = 79199232. Its totient is φ = 13063680.

The previous prime is 32959033. The next prime is 32959063. The reversal of 32959040 is 4095923.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32958988 and 32959006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40235 + ... + 41045.

It is an arithmetic number, because the mean of its divisors is an integer number (1414272).

Almost surely, 2^32959040 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 32959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39599616).

32959040 is an abundant number, since it is smaller than the sum of its proper divisors (46240192).

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

32959040 is a wasteful number, since it uses less digits than its factorization.

32959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 32959040 is about 5740.9964291924. The cubic root of 32959040 is about 320.6206703726.

The spelling of 32959040 in words is "thirty-two million, nine hundred fifty-nine thousand, forty".