164240320 has 56 divisors (see below), whose sum is σ = 392515344. Its totient is φ = 65458176.

The previous prime is 164240287. The next prime is 164240347. The reversal of 164240320 is 23042461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164240291 and 164240300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107079 + ... + 108601.

Almost surely, 2^164240320 is an apocalyptic number.

164240320 is a gapful number since it is divisible by the number (10) 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 164240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196257672).

164240320 is an abundant number, since it is smaller than the sum of its proper divisors (228275024).

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

164240320 is a wasteful number, since it uses less digits than its factorization.

164240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 164240320 is about 12815.6279596436. The cubic root of 164240320 is about 547.6376029383.

Adding to 164240320 its reverse (23042461), we get a palindrome (187282781).

The spelling of 164240320 in words is "one hundred sixty-four million, two hundred forty thousand, three hundred twenty".