36564032 has 28 divisors (see below), whose sum is σ = 72809100. Its totient is φ = 18218496.

The previous prime is 36564023. The next prime is 36564049. The reversal of 36564032 is 23046563.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 24840256 = 3424^2 + 4984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36563986 and 36564004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21518 + ... + 23154.

It is an arithmetic number, because the mean of its divisors is an integer number (2600325).

Almost surely, 2^36564032 is an apocalyptic number.

36564032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36564032 is a deficient number, since it is larger than the sum of its proper divisors (36245068).

36564032 is a wasteful number, since it uses less digits than its factorization.

36564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 36564032 is about 6046.8199907059. The cubic root of 36564032 is about 331.9082341822.

The spelling of 36564032 in words is "thirty-six million, five hundred sixty-four thousand, thirty-two".