36567648 has 72 divisors (see below), whose sum is σ = 111999888. Its totient is φ = 11250432.

The previous prime is 36567617. The next prime is 36567649. The reversal of 36567648 is 84676563.

36567648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×36567648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36567649) 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 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 8627.

It is an arithmetic number, because the mean of its divisors is an integer number (1555554).

Almost surely, 2^36567648 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 36567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55999944).

36567648 is an abundant number, since it is smaller than the sum of its proper divisors (75432240).

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

36567648 is a wasteful number, since it uses less digits than its factorization.

36567648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796 (or 9785 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 36567648 is about 6047.1189834499. The cubic root of 36567648 is about 331.9191751766.

The spelling of 36567648 in words is "thirty-six million, five hundred sixty-seven thousand, six hundred forty-eight".