32748960 has 48 divisors (see below), whose sum is σ = 103160736. Its totient is φ = 8732928.

The previous prime is 32748949. The next prime is 32748967. The reversal of 32748960 is 6984723.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (32748967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33634 + ... + 34593.

It is an arithmetic number, because the mean of its divisors is an integer number (2149182).

Almost surely, 2^32748960 is an apocalyptic number.

32748960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32748960 is an abundant number, since it is smaller than the sum of its proper divisors (70411776).

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

32748960 is a wasteful number, since it uses less digits than its factorization.

32748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68245 (or 68237 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 32748960 is about 5722.6707051865. The cubic root of 32748960 is about 319.9380088250.

The spelling of 32748960 in words is "thirty-two million, seven hundred forty-eight thousand, nine hundred sixty".