320638140 has 72 divisors (see below), whose sum is σ = 975094848. Its totient is φ = 85284480.

The previous prime is 320638127. The next prime is 320638187. The reversal of 320638140 is 41836023.

It is a happy number.

320638140 is a `hidden beast` number, since 3 + 20 + 638 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75514 + ... + 79646.

It is an arithmetic number, because the mean of its divisors is an integer number (13542984).

Almost surely, 2^320638140 is an apocalyptic number.

320638140 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 320638140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487547424).

320638140 is an abundant number, since it is smaller than the sum of its proper divisors (654456708).

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

320638140 is a wasteful number, since it uses less digits than its factorization.

320638140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 320638140 is about 17906.3714917344. The cubic root of 320638140 is about 684.4447451282. Note that the first 3 decimals are identical.

The spelling of 320638140 in words is "three hundred twenty million, six hundred thirty-eight thousand, one hundred forty".