36268785 has 48 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 16395264.

The previous prime is 36268783. The next prime is 36268789. The reversal of 36268785 is 58786263.

36268785 = T₁₁₈ + T₁₁₉ + ... + T₆₀₂.

36268785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36268785 - 2¹ = 36268783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 36268785.

It is not an unprimeable number, because it can be changed into a prime (36268781) 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 47 ways as a sum of consecutive naturals, for example, 29962 + ... + 31148.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^36268785 is an apocalyptic number.

36268785 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36268785 is an abundant number, since it is smaller than the sum of its proper divisors (36379791).

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

36268785 is a wasteful number, since it uses less digits than its factorization.

36268785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1299 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36268785 is about 6022.3570966856. The cubic root of 36268785 is about 331.0124553018.

The spelling of 36268785 in words is "thirty-six million, two hundred sixty-eight thousand, seven hundred eighty-five".