32488960 has 160 divisors (see below), whose sum is σ = 93297600. Its totient is φ = 10838016.

The previous prime is 32488931. The next prime is 32489021. The reversal of 32488960 is 6988423.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878062 + ... + 878098.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 2^32488960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

32488960 is an abundant number, since it is smaller than the sum of its proper divisors (60808640).

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

32488960 is an frugal number, since it uses more digits than its factorization.

32488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 32488960 is about 5699.9087711998. The cubic root of 32488960 is about 319.0890760571.

The spelling of 32488960 in words is "thirty-two million, four hundred eighty-eight thousand, nine hundred sixty".