36075960 has 96 divisors (see below), whose sum is σ = 122372640. Its totient is φ = 9199872.

The previous prime is 36075947. The next prime is 36075961. The reversal of 36075960 is 6957063.

It is a happy number.

36075960 is a `hidden beast` number, since 3 + 60 + 7 + 596 + 0 = 666.

36075960 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36075961) 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 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 10458.

It is an arithmetic number, because the mean of its divisors is an integer number (1274715).

Almost surely, 2^36075960 is an apocalyptic number.

36075960 is a gapful number since it is divisible by the number (30) 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 36075960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61186320).

36075960 is an abundant number, since it is smaller than the sum of its proper divisors (86296680).

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

36075960 is a wasteful number, since it uses less digits than its factorization.

36075960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 36075960 is about 6006.3266644431. The cubic root of 36075960 is about 330.4247972915.

The spelling of 36075960 in words is "thirty-six million, seventy-five thousand, nine hundred sixty".