32120160 has 96 divisors (see below), whose sum is σ = 102930912. Its totient is φ = 8417280.

The previous prime is 32120147. The next prime is 32120161. The reversal of 32120160 is 6102123.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120161) 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, 28732 + ... + 29828.

It is an arithmetic number, because the mean of its divisors is an integer number (1072197).

Almost surely, 2^32120160 is an apocalyptic number.

32120160 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 32120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51465456).

32120160 is an abundant number, since it is smaller than the sum of its proper divisors (70810752).

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

32120160 is a wasteful number, since it uses less digits than its factorization.

32120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 32120160 is about 5667.4650417978. The cubic root of 32120160 is about 317.8770934388.

Adding to 32120160 its reverse (6102123), we get a palindrome (38222283).

The spelling of 32120160 in words is "thirty-two million, one hundred twenty thousand, one hundred sixty".