164050000 has 120 divisors (see below), whose sum is σ = 422832312. Its totient is φ = 61440000.

The previous prime is 164049959. The next prime is 164050027. The reversal of 164050000 is 50461.

It can be written as a sum of positive squares in 12 ways, for example, as 163635264 + 414736 = 12792^2 + 644^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849904 + ... + 850096.

Almost surely, 2^164050000 is an apocalyptic number.

164050000 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 164050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211416156).

164050000 is an abundant number, since it is smaller than the sum of its proper divisors (258782312).

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

164050000 is an equidigital number, since it uses as much as digits as its factorization.

164050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 164050000 is about 12808.2004981184. The cubic root of 164050000 is about 547.4259888975.

The spelling of 164050000 in words is "one hundred sixty-four million, fifty thousand".