36568224 has 288 divisors, whose sum is σ = 138692736. Its totient is φ = 8847360.

The previous prime is 36568211. The next prime is 36568237. The reversal of 36568224 is 42286563.

36568224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36568211) and next prime (36568237).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 376944 + ... + 377040.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 2^36568224 is an apocalyptic number.

36568224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

36568224 is an abundant number, since it is smaller than the sum of its proper divisors (102124512).

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

36568224 is a wasteful number, since it uses less digits than its factorization.

36568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 36568224 is about 6047.1666092477. The cubic root of 36568224 is about 331.9209179233.

The spelling of 36568224 in words is "thirty-six million, five hundred sixty-eight thousand, two hundred twenty-four".