32544960 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 7139328.

The previous prime is 32544959. The next prime is 32544961. The reversal of 32544960 is 6944523.

It is an interprime number because it is at equal distance from previous prime (32544959) and next prime (32544961).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32544961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194797 + ... + 194963.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^32544960 is an apocalyptic number.

32544960 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 32544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

32544960 is an abundant number, since it is smaller than the sum of its proper divisors (90350400).

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

32544960 is a wasteful number, since it uses less digits than its factorization.

32544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 32544960 is about 5704.8190155341. The cubic root of 32544960 is about 319.2723047741.

The spelling of 32544960 in words is "thirty-two million, five hundred forty-four thousand, nine hundred sixty".