36159120 has 60 divisors (see below), whose sum is σ = 121436796. Its totient is φ = 9642240.

The previous prime is 36159103. The next prime is 36159127. The reversal of 36159120 is 2195163.

36159120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 27373824 = 2964^2 + 5232^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (36159127) 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 11 ways as a sum of consecutive naturals, for example, 24391 + ... + 25830.

Almost surely, 2^36159120 is an apocalyptic number.

36159120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36159120 is an abundant number, since it is smaller than the sum of its proper divisors (85277676).

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

36159120 is a wasteful number, since it uses less digits than its factorization.

36159120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50240 (or 50231 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 36159120 is about 6013.2453799924. The cubic root of 36159120 is about 330.6784938393.

The spelling of 36159120 in words is "thirty-six million, one hundred fifty-nine thousand, one hundred twenty".