36555960 has 96 divisors (see below), whose sum is σ = 127593360. Its totient is φ = 8354304.

The previous prime is 36555941. The next prime is 36556007. The reversal of 36555960 is 6955563.

36555960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2772 + ... + 8988.

Almost surely, 2^36555960 is an apocalyptic number.

36555960 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 36555960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63796680).

36555960 is an abundant number, since it is smaller than the sum of its proper divisors (91037400).

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

36555960 is a wasteful number, since it uses less digits than its factorization.

36555960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 36555960 is about 6046.1524955959. The cubic root of 36555960 is about 331.8838079879.

The spelling of 36555960 in words is "thirty-six million, five hundred fifty-five thousand, nine hundred sixty".