32048964 has 36 divisors (see below), whose sum is σ = 81186924. Its totient is φ = 10660032.

The previous prime is 32048911. The next prime is 32048969. The reversal of 32048964 is 46984023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7128900 + 24920064 = 2670^2 + 4992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32048969) 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 11 ways as a sum of consecutive naturals, for example, 28134 + ... + 29250.

Almost surely, 2^32048964 is an apocalyptic number.

It is an amenable number.

32048964 is an abundant number, since it is smaller than the sum of its proper divisors (49137960).

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

32048964 is a wasteful number, since it uses less digits than its factorization.

32048964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 32048964 is about 5661.1804422753. The cubic root of 32048964 is about 317.6420560093.

It can be divided in two parts, 320 and 48964, that added together give a square (49284 = 222²).

The spelling of 32048964 in words is "thirty-two million, forty-eight thousand, nine hundred sixty-four".