20365000 has 40 divisors (see below), whose sum is σ = 47726910. Its totient is φ = 8144000.

The previous prime is 20364991. The next prime is 20365003. The reversal of 20365000 is 56302.

It can be written as a sum of positive squares in 5 ways, for example, as 276676 + 20088324 = 526^2 + 4482^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20365003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2964 + ... + 7036.

Almost surely, 2^20365000 is an apocalyptic number.

20365000 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 20365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863455).

20365000 is an abundant number, since it is smaller than the sum of its proper divisors (27361910).

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

20365000 is an equidigital number, since it uses as much as digits as its factorization.

20365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20365000 is about 4512.7596878185. The cubic root of 20365000 is about 273.0830877707.

The spelling of 20365000 in words is "twenty million, three hundred sixty-five thousand".