32768160 has 96 divisors (see below), whose sum is σ = 108682560. Its totient is φ = 8275968.

The previous prime is 32768149. The next prime is 32768161. The reversal of 32768160 is 6186723.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (32768161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7324 + ... + 10916.

It is an arithmetic number, because the mean of its divisors is an integer number (1132110).

Almost surely, 2^32768160 is an apocalyptic number.

32768160 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 32768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341280).

32768160 is an abundant number, since it is smaller than the sum of its proper divisors (75914400).

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

32768160 is a wasteful number, since it uses less digits than its factorization.

32768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 32768160 is about 5724.3479978073. The cubic root of 32768160 is about 320.0005208325. Note that the first 3 decimals are identical.

The spelling of 32768160 in words is "thirty-two million, seven hundred sixty-eight thousand, one hundred sixty".