164169900 has 108 divisors (see below), whose sum is σ = 521320800. Its totient is φ = 43205760.

The previous prime is 164169877. The next prime is 164169911. The reversal of 164169900 is 9961461.

164169900 is a `hidden beast` number, since 1 + 641 + 6 + 9 + 9 + 0 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 69946 + ... + 72254.

Almost surely, 2^164169900 is an apocalyptic number.

164169900 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 164169900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260660400).

164169900 is an abundant number, since it is smaller than the sum of its proper divisors (357150900).

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

164169900 is a wasteful number, since it uses less digits than its factorization.

164169900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 164169900 is about 12812.8802382602. The cubic root of 164169900 is about 547.5593230271.

The spelling of 164169900 in words is "one hundred sixty-four million, one hundred sixty-nine thousand, nine hundred".