164242320 has 80 divisors (see below), whose sum is σ = 555446592. Its totient is φ = 39815680.

The previous prime is 164242279. The next prime is 164242339. The reversal of 164242320 is 23242461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28467 + ... + 33746.

Almost surely, 2^164242320 is an apocalyptic number.

164242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164242320 is an abundant number, since it is smaller than the sum of its proper divisors (391204272).

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

164242320 is a wasteful number, since it uses less digits than its factorization.

164242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62240 (or 62234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 164242320 is about 12815.7059891369. The cubic root of 164242320 is about 547.6398258411.

Adding to 164242320 its reverse (23242461), we get a palindrome (187484781).

The spelling of 164242320 in words is "one hundred sixty-four million, two hundred forty-two thousand, three hundred twenty".