32706960 has 160 divisors (see below), whose sum is σ = 119242368. Its totient is φ = 7311360.

The previous prime is 32706913. The next prime is 32706967. The reversal of 32706960 is 6960723.

It is a Cunningham number, because it is equal to 5719²-1.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (32706967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33844 + ... + 34796.

Almost surely, 2^32706960 is an apocalyptic number.

32706960 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 32706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59621184).

32706960 is an abundant number, since it is smaller than the sum of its proper divisors (86535408).

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

32706960 is a wasteful number, since it uses less digits than its factorization.

32706960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 32706960 is about 5718.9999125721. Note that the first 4 decimals coincide. The cubic root of 32706960 is about 319.8011785778.

The spelling of 32706960 in words is "thirty-two million, seven hundred six thousand, nine hundred sixty".