36600864 has 96 divisors (see below), whose sum is σ = 104400576. Its totient is φ = 11182080.

The previous prime is 36600833. The next prime is 36600877. The reversal of 36600864 is 46800663.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 13.

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 15 ways as a sum of consecutive naturals, for example, 66639 + ... + 67185.

It is an arithmetic number, because the mean of its divisors is an integer number (1087506).

Almost surely, 2^36600864 is an apocalyptic number.

36600864 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 36600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52200288).

36600864 is an abundant number, since it is smaller than the sum of its proper divisors (67799712).

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

36600864 is a wasteful number, since it uses less digits than its factorization.

36600864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 36600864 is about 6049.8647918776. The cubic root of 36600864 is about 332.0196436821.

The spelling of 36600864 in words is "thirty-six million, six hundred thousand, eight hundred sixty-four".