36531768 has 128 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 9386496.

The previous prime is 36531763. The next prime is 36531769. The reversal of 36531768 is 86713563.

36531768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36531763) 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 31 ways as a sum of consecutive naturals, for example, 93718 + ... + 94106.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^36531768 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 36531768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657600).

36531768 is an abundant number, since it is smaller than the sum of its proper divisors (78783432).

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

36531768 is a wasteful number, since it uses less digits than its factorization.

36531768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 36531768 is about 6044.1515533613. The cubic root of 36531768 is about 331.8105804863.

The spelling of 36531768 in words is "thirty-six million, five hundred thirty-one thousand, seven hundred sixty-eight".