32484960 has 144 divisors (see below), whose sum is σ = 117464256. Its totient is φ = 8146944.

The previous prime is 32484953. The next prime is 32484961. The reversal of 32484960 is 6948423.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (32484961) 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, 23817 + ... + 25143.

It is an arithmetic number, because the mean of its divisors is an integer number (815724).

Almost surely, 2^32484960 is an apocalyptic number.

32484960 is a gapful number since it is divisible by the number (30) 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 32484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58732128).

32484960 is an abundant number, since it is smaller than the sum of its proper divisors (84979296).

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

32484960 is a wasteful number, since it uses less digits than its factorization.

32484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1354 counting only the distinct ones).

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

The square root of 32484960 is about 5699.5578775902. The cubic root of 32484960 is about 319.0759802374.

The spelling of 32484960 in words is "thirty-two million, four hundred eighty-four thousand, nine hundred sixty".