32609472 has 112 divisors (see below), whose sum is σ = 103875840. Its totient is φ = 8819712.

The previous prime is 32609471. The next prime is 32609501. The reversal of 32609472 is 27490623.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (32609471) 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 15 ways as a sum of consecutive naturals, for example, 24898 + ... + 26174.

Almost surely, 2^32609472 is an apocalyptic number.

32609472 is a gapful number since it is divisible by the number (32) 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 32609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51937920).

32609472 is an abundant number, since it is smaller than the sum of its proper divisors (71266368).

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

32609472 is a wasteful number, since it uses less digits than its factorization.

32609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 32609472 is about 5710.4703834273. The cubic root of 32609472 is about 319.4831239050.

The spelling of 32609472 in words is "thirty-two million, six hundred nine thousand, four hundred seventy-two".