20164000 has 72 divisors (see below), whose sum is σ = 50250564. Its totient is φ = 7952000.

The previous prime is 20163991. The next prime is 20164003. The reversal of 20164000 is 46102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13630864 + 6533136 = 3692^2 + 2556^2 .

It is not an unprimeable number, because it can be changed into a prime (20164003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283965 + ... + 284035.

Almost surely, 2^20164000 is an apocalyptic number.

20164000 is a gapful number since it is divisible by the number (20) 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 20164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25125282).

20164000 is an abundant number, since it is smaller than the sum of its proper divisors (30086564).

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

20164000 is an frugal number, since it uses more digits than its factorization.

20164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20164000 is about 4490.4342774391. The cubic root of 20164000 is about 272.1816836915.

The spelling of 20164000 in words is "twenty million, one hundred sixty-four thousand".