32996964 has 192 divisors, whose sum is σ = 107476992. Its totient is φ = 7603200.

The previous prime is 32996963. The next prime is 32996993. The reversal of 32996964 is 46969923.

Its product of digits (629856) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (32996963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492459 + ... + 492525.

It is an arithmetic number, because the mean of its divisors is an integer number (559776).

Almost surely, 2^32996964 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 32996964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53738496).

32996964 is an abundant number, since it is smaller than the sum of its proper divisors (74480028).

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

32996964 is a wasteful number, since it uses less digits than its factorization.

32996964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 32996964 is about 5744.2983905783. The cubic root of 32996964 is about 320.7435962593.

It can be divided in two parts, 329969 and 64, that added together give a palindrome (330033).

The spelling of 32996964 in words is "thirty-two million, nine hundred ninety-six thousand, nine hundred sixty-four".