36205620 has 72 divisors (see below), whose sum is σ = 111451872. Its totient is φ = 8775360.

The previous prime is 36205607. The next prime is 36205639. The reversal of 36205620 is 2650263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4767 + ... + 9753.

Almost surely, 2^36205620 is an apocalyptic number.

36205620 is a gapful number since it is divisible by the number (30) 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 36205620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55725936).

36205620 is an abundant number, since it is smaller than the sum of its proper divisors (75246252).

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

36205620 is a wasteful number, since it uses less digits than its factorization.

36205620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36205620 is about 6017.1106022742. The cubic root of 36205620 is about 330.8201820528.

Adding to 36205620 its reverse (2650263), we get a palindrome (38855883).

The spelling of 36205620 in words is "thirty-six million, two hundred five thousand, six hundred twenty".