36573680 has 160 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 11658240.

The previous prime is 36573673. The next prime is 36573721. The reversal of 36573680 is 8637563.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263051 + ... + 263189.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^36573680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

36573680 is an abundant number, since it is smaller than the sum of its proper divisors (68419600).

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

36573680 is a wasteful number, since it uses less digits than its factorization.

36573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 36573680 is about 6047.6177127858. The cubic root of 36573680 is about 331.9374246995.

It can be divided in two parts, 3657 and 3680, that added together give a palindrome (7337).

The spelling of 36573680 in words is "thirty-six million, five hundred seventy-three thousand, six hundred eighty".