20035000 has 40 divisors (see below), whose sum is σ = 46953720. Its totient is φ = 8012000.

The previous prime is 20034997. The next prime is 20035031. The reversal of 20035000 is 53002.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2997 + ... + 7003.

It is an arithmetic number, because the mean of its divisors is an integer number (1173843).

Almost surely, 2^20035000 is an apocalyptic number.

20035000 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 20035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476860).

20035000 is an abundant number, since it is smaller than the sum of its proper divisors (26918720).

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

20035000 is an equidigital number, since it uses as much as digits as its factorization.

20035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 20035000 is about 4476.0473634670. The cubic root of 20035000 is about 271.6000104112.

Adding to 20035000 its reverse (53002), we get a palindrome (20088002).

The spelling of 20035000 in words is "twenty million, thirty-five thousand".