36505868 has 48 divisors (see below), whose sum is σ = 77865984. Its totient is φ = 14618880.

The previous prime is 36505849. The next prime is 36505907. The reversal of 36505868 is 86850563.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128855 + ... + 129137.

It is an arithmetic number, because the mean of its divisors is an integer number (1622208).

Almost surely, 2^36505868 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 36505868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38932992).

36505868 is an abundant number, since it is smaller than the sum of its proper divisors (41360116).

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

36505868 is a wasteful number, since it uses less digits than its factorization.

36505868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 36505868 is about 6042.0086064156. The cubic root of 36505868 is about 331.7321471460.

It can be divided in two parts, 36505 and 868, that added together give a palindrome (37373).

The spelling of 36505868 in words is "thirty-six million, five hundred five thousand, eight hundred sixty-eight".