164495320 has 64 divisors (see below), whose sum is σ = 406283040. Its totient is φ = 59443200.

The previous prime is 164495299. The next prime is 164495327. The reversal of 164495320 is 23594461.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164495327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75040 + ... + 77200.

Almost surely, 2^164495320 is an apocalyptic number.

164495320 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 164495320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203141520).

164495320 is an abundant number, since it is smaller than the sum of its proper divisors (241787720).

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

164495320 is a wasteful number, since it uses less digits than its factorization.

164495320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 164495320 is about 12825.5728916879. The cubic root of 164495320 is about 547.9208776312.

The spelling of 164495320 in words is "one hundred sixty-four million, four hundred ninety-five thousand, three hundred twenty".