320133040 has 40 divisors (see below), whose sum is σ = 748644048. Its totient is φ = 127307520.

The previous prime is 320133019. The next prime is 320133041. The reversal of 320133040 is 40331023.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (320133041) 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, 2275 + ... + 25405.

Almost surely, 2^320133040 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 320133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374322024).

320133040 is an abundant number, since it is smaller than the sum of its proper divisors (428511008).

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

320133040 is a wasteful number, since it uses less digits than its factorization.

320133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23317 (or 23311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 320133040 is about 17892.2620146252. The cubic root of 320133040 is about 684.0851552041.

Adding to 320133040 its reverse (40331023), we get a palindrome (360464063).

It can be divided in two parts, 32013 and 3040, that added together give a palindrome (35053).

The spelling of 320133040 in words is "three hundred twenty million, one hundred thirty-three thousand, forty".