36000096 has 96 divisors (see below), whose sum is σ = 104727168. Its totient is φ = 10736640.

The previous prime is 36000071. The next prime is 36000109. The reversal of 36000096 is 69000063.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 76855 + ... + 77321.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908).

Almost surely, 2^36000096 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 36000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584).

36000096 is an abundant number, since it is smaller than the sum of its proper divisors (68727072).

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

36000096 is a wasteful number, since it uses less digits than its factorization.

36000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36000096 is about 6000.0079999947. The cubic root of 36000096 is about 330.1930183938.

The spelling of 36000096 in words is "thirty-six million, ninety-six", and thus it is an aban number and an uban number.