36075966 has 16 divisors (see below), whose sum is σ = 72255888. Its totient is φ = 12008000.

The previous prime is 36075961. The next prime is 36075967. The reversal of 36075966 is 66957063.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36075961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (4515993).

Almost surely, 2^36075966 is an apocalyptic number.

36075966 is an abundant number, since it is smaller than the sum of its proper divisors (36179922).

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

36075966 is a wasteful number, since it uses less digits than its factorization.

36075966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667.

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 36075966 is about 6006.3271639164. The cubic root of 36075966 is about 330.4248156098.

It can be divided in two parts, 360759 and 66, that added together give a triangular number (360825 = T₈₄₉).

The spelling of 36075966 in words is "thirty-six million, seventy-five thousand, nine hundred sixty-six".