36205020 has 36 divisors (see below), whose sum is σ = 109822440. Its totient is φ = 9654624.

The previous prime is 36205003. The next prime is 36205027. The reversal of 36205020 is 2050263.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36204984 and 36205002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36205027) 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, 100390 + ... + 100749.

Almost surely, 2^36205020 is an apocalyptic number.

36205020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36205020 is an abundant number, since it is smaller than the sum of its proper divisors (73617420).

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

36205020 is a wasteful number, since it uses less digits than its factorization.

36205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201154 (or 201149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36205020 is about 6017.0607442505. The cubic root of 36205020 is about 330.8183545906.

Adding to 36205020 its reverse (2050263), we get a palindrome (38255283).

The spelling of 36205020 in words is "thirty-six million, two hundred five thousand, twenty".