164920320 has 176 divisors, whose sum is σ = 586588320. Its totient is φ = 43941888.

The previous prime is 164920307. The next prime is 164920331. The reversal of 164920320 is 23029461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 137644 + ... + 138836.

Almost surely, 2^164920320 is an apocalyptic number.

164920320 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 164920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293294160).

164920320 is an abundant number, since it is smaller than the sum of its proper divisors (421668000).

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

164920320 is a wasteful number, since it uses less digits than its factorization.

164920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 164920320 is about 12842.1306643407. The cubic root of 164920320 is about 548.3923522628.

Adding to 164920320 its reverse (23029461), we get a palindrome (187949781).

The spelling of 164920320 in words is "one hundred sixty-four million, nine hundred twenty thousand, three hundred twenty".