32468832 has 144 divisors (see below), whose sum is σ = 103822992. Its totient is φ = 9538560.

The previous prime is 32468831. The next prime is 32468833. The reversal of 32468832 is 23886423.

It is an interprime number because it is at equal distance from previous prime (32468831) and next prime (32468833).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32468831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117078 + ... + 117354.

It is an arithmetic number, because the mean of its divisors is an integer number (720993).

Almost surely, 2^32468832 is an apocalyptic number.

32468832 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 32468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51911496).

32468832 is an abundant number, since it is smaller than the sum of its proper divisors (71354160).

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

32468832 is a wasteful number, since it uses less digits than its factorization.

32468832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 32468832 is about 5698.1428553521. The cubic root of 32468832 is about 319.0231669839.

It can be divided in two parts, 32 and 468832, that added together give a palindrome (468864).

The spelling of 32468832 in words is "thirty-two million, four hundred sixty-eight thousand, eight hundred thirty-two".