36303066 has 40 divisors (see below), whose sum is σ = 81740340. Its totient is φ = 12042432.

The previous prime is 36303061. The next prime is 36303101. The reversal of 36303066 is 66030363.

36303066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36252441 + 50625 = 6021^2 + 225^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36303061) 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 19 ways as a sum of consecutive naturals, for example, 44470 + ... + 45278.

Almost surely, 2^36303066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36303066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40870170).

36303066 is an abundant number, since it is smaller than the sum of its proper divisors (45437274).

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

36303066 is a wasteful number, since it uses less digits than its factorization.

36303066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 36303066 is about 6025.2025692088. The cubic root of 36303066 is about 331.1167126743.

The spelling of 36303066 in words is "thirty-six million, three hundred three thousand, sixty-six".