20535000 has 120 divisors (see below), whose sum is σ = 65932020. Its totient is φ = 5328000.

The previous prime is 20534999. The next prime is 20535001. The reversal of 20535000 is 53502.

It is an interprime number because it is at equal distance from previous prime (20534999) and next prime (20535001).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 554982 + ... + 555018.

Almost surely, 2^20535000 is an apocalyptic number.

20535000 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 20535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32966010).

20535000 is an abundant number, since it is smaller than the sum of its proper divisors (45397020).

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

20535000 is an equidigital number, since it uses as much as digits as its factorization.

20535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 20535000 is about 4531.5560241489. The cubic root of 20535000 is about 273.8408509780.

Multiplying 20535000 by its product of nonzero digits (150), we get a square (3080250000 = 55500²).

20535000 divided by its product of nonzero digits (150) gives a square (136900 = 370²).

Adding to 20535000 its reverse (53502), we get a palindrome (20588502).

The spelling of 20535000 in words is "twenty million, five hundred thirty-five thousand".