164971800 has 144 divisors (see below), whose sum is σ = 633225840. Its totient is φ = 37704960.

The previous prime is 164971783. The next prime is 164971819. The reversal of 164971800 is 8179461.

164971800 is a `hidden beast` number, since 1 + 649 + 7 + 1 + 8 + 0 + 0 = 666.

164971800 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6054 + ... + 19146.

Almost surely, 2^164971800 is an apocalyptic number.

164971800 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 164971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316612920).

164971800 is an abundant number, since it is smaller than the sum of its proper divisors (468254040).

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

164971800 is a wasteful number, since it uses less digits than its factorization.

164971800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122 (or 13110 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 164971800 is about 12844.1348482488. The cubic root of 164971800 is about 548.4494066863.

The spelling of 164971800 in words is "one hundred sixty-four million, nine hundred seventy-one thousand, eight hundred".