164848500 has 96 divisors (see below), whose sum is σ = 533420160. Its totient is φ = 43956000.

The previous prime is 164848477. The next prime is 164848501. The reversal of 164848500 is 5848461.

164848500 is a `hidden beast` number, since 1 + 648 + 4 + 8 + 5 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164848501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7395 + ... + 19605.

It is an arithmetic number, because the mean of its divisors is an integer number (5556460).

Almost surely, 2^164848500 is an apocalyptic number.

164848500 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 164848500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266710080).

164848500 is an abundant number, since it is smaller than the sum of its proper divisors (368571660).

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

164848500 is a wasteful number, since it uses less digits than its factorization.

164848500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12239 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 164848500 is about 12839.3340948820. The cubic root of 164848500 is about 548.3127355174.

The spelling of 164848500 in words is "one hundred sixty-four million, eight hundred forty-eight thousand, five hundred".