32870160 has 120 divisors (see below), whose sum is σ = 112117824. Its totient is φ = 8628480.

The previous prime is 32870153. The next prime is 32870161. The reversal of 32870160 is 6107823.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (32870161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50799 + ... + 51441.

Almost surely, 2^32870160 is an apocalyptic number.

32870160 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 32870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56058912).

32870160 is an abundant number, since it is smaller than the sum of its proper divisors (79247664).

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

32870160 is a wasteful number, since it uses less digits than its factorization.

32870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 32870160 is about 5733.2503869969. The cubic root of 32870160 is about 320.3322070842.

Adding to 32870160 its reverse (6107823), we get a palindrome (38977983).

The spelling of 32870160 in words is "thirty-two million, eight hundred seventy thousand, one hundred sixty".