32961040 has 80 divisors (see below), whose sum is σ = 88922880. Its totient is φ = 11128320.

The previous prime is 32961031. The next prime is 32961059. The reversal of 32961040 is 4016923.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 32960996 and 32961014.

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 15 ways as a sum of consecutive naturals, for example, 39346 + ... + 40174.

It is an arithmetic number, because the mean of its divisors is an integer number (1111536).

Almost surely, 2^32961040 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 32961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461440).

32961040 is an abundant number, since it is smaller than the sum of its proper divisors (55961840).

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

32961040 is a wasteful number, since it uses less digits than its factorization.

32961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 32961040 is about 5741.1706123403. The cubic root of 32961040 is about 320.6271554762.

Adding to 32961040 its reverse (4016923), we get a palindrome (36977963).

The spelling of 32961040 in words is "thirty-two million, nine hundred sixty-one thousand, forty".