36064224 has 192 divisors, whose sum is σ = 123379200. Its totient is φ = 10036224.

The previous prime is 36064213. The next prime is 36064241. The reversal of 36064224 is 42246063.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 405172 + ... + 405260.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^36064224 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 36064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

36064224 is an abundant number, since it is smaller than the sum of its proper divisors (87314976).

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

36064224 is a wasteful number, since it uses less digits than its factorization.

36064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36064224 is about 6005.3496151348. The cubic root of 36064224 is about 330.3889628466.

The spelling of 36064224 in words is "thirty-six million, sixty-four thousand, two hundred twenty-four".