36765260 has 48 divisors (see below), whose sum is σ = 89752320. Its totient is φ = 12388800.

The previous prime is 36765221. The next prime is 36765269. The reversal of 36765260 is 6256763.

36765260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 36765260.

It is not an unprimeable number, because it can be changed into a prime (36765269) 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, 6035 + ... + 10485.

It is an arithmetic number, because the mean of its divisors is an integer number (1869840).

Almost surely, 2^36765260 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 36765260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876160).

36765260 is an abundant number, since it is smaller than the sum of its proper divisors (52987060).

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

36765260 is a wasteful number, since it uses less digits than its factorization.

36765260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 36765260 is about 6063.4363194479. The cubic root of 36765260 is about 332.5159997577.

The spelling of 36765260 in words is "thirty-six million, seven hundred sixty-five thousand, two hundred sixty".