164908440 has 256 divisors, whose sum is σ = 581644800. Its totient is φ = 41513472.

The previous prime is 164908421. The next prime is 164908451. The reversal of 164908440 is 44809461.

It is a happy number.

164908440 is a `hidden beast` number, since 1 + 649 + 0 + 8 + 4 + 4 + 0 = 666.

164908440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164908395 and 164908404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461287 + ... + 2461353.

It is an arithmetic number, because the mean of its divisors is an integer number (2272050).

Almost surely, 2^164908440 is an apocalyptic number.

164908440 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 164908440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

164908440 is an abundant number, since it is smaller than the sum of its proper divisors (416736360).

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

164908440 is a wasteful number, since it uses less digits than its factorization.

164908440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164908440 is about 12841.6681159419. The cubic root of 164908440 is about 548.3791841713.

The spelling of 164908440 in words is "one hundred sixty-four million, nine hundred eight thousand, four hundred forty".