36205056 has 140 divisors (see below), whose sum is σ = 109577622. Its totient is φ = 11943936.

The previous prime is 36205031. The next prime is 36205067. The reversal of 36205056 is 65050263.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 4665600 = 5616^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373200 + ... + 373296.

Almost surely, 2^36205056 is an apocalyptic number.

36205056 is a gapful number since it is divisible by the number (36) 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 36205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54788811).

36205056 is an abundant number, since it is smaller than the sum of its proper divisors (73372566).

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

36205056 is an frugal number, since it uses more digits than its factorization.

36205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 36205056 is about 6017.0637357435. The cubic root of 36205056 is about 330.8184642389.

The spelling of 36205056 in words is "thirty-six million, two hundred five thousand, fifty-six".