36765360 has 80 divisors (see below), whose sum is σ = 126643680. Its totient is φ = 9803520.

The previous prime is 36765353. The next prime is 36765367. The reversal of 36765360 is 6356763.

36765360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36765353) and next prime (36765367).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36765367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6351 + ... + 10670.

It is an arithmetic number, because the mean of its divisors is an integer number (1583046).

Almost surely, 2^36765360 is an apocalyptic number.

36765360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36765360 is an abundant number, since it is smaller than the sum of its proper divisors (89878320).

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

36765360 is a wasteful number, since it uses less digits than its factorization.

36765360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17043 (or 17031 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 36765360 is about 6063.4445655914. Note that the first 3 decimals coincide. The cubic root of 36765360 is about 332.5163012341.

The spelling of 36765360 in words is "thirty-six million, seven hundred sixty-five thousand, three hundred sixty".