32412032 has 32 divisors (see below), whose sum is σ = 64974000. Its totient is φ = 16104960.

The previous prime is 32412031. The next prime is 32412049. The reversal of 32412032 is 23021423.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 32412032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32412031) 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 3 ways as a sum of consecutive naturals, for example, 22469 + ... + 23867.

Almost surely, 2^32412032 is an apocalyptic number.

32412032 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 32412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487000).

32412032 is an abundant number, since it is smaller than the sum of its proper divisors (32561968).

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

32412032 is a wasteful number, since it uses less digits than its factorization.

32412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 32412032 is about 5693.1565936658. The cubic root of 32412032 is about 318.8370285496.

Adding to 32412032 its reverse (23021423), we get a palindrome (55433455).

The spelling of 32412032 in words is "thirty-two million, four hundred twelve thousand, thirty-two".