36765680 has 120 divisors (see below), whose sum is σ = 101524752. Its totient is φ = 12343296.

The previous prime is 36765667. The next prime is 36765683. The reversal of 36765680 is 8656763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36765683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325304 + ... + 325416.

Almost surely, 2^36765680 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 36765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50762376).

36765680 is an abundant number, since it is smaller than the sum of its proper divisors (64759072).

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

36765680 is a wasteful number, since it uses less digits than its factorization.

36765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 36765680 is about 6063.4709531753. The cubic root of 36765680 is about 332.5172659547.

The spelling of 36765680 in words is "thirty-six million, seven hundred sixty-five thousand, six hundred eighty".