36271120 has 60 divisors (see below), whose sum is σ = 86455404. Its totient is φ = 14150400.

The previous prime is 36271117. The next prime is 36271121. The reversal of 36271120 is 2117263.

It can be written as a sum of positive squares in 2 ways, for example, as 25928464 + 10342656 = 5092^2 + 3216^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36271091 and 36271100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36271121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359070 + ... + 359170.

Almost surely, 2^36271120 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 36271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43227702).

36271120 is an abundant number, since it is smaller than the sum of its proper divisors (50184284).

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

36271120 is a wasteful number, since it uses less digits than its factorization.

36271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 36271120 is about 6022.5509545375. The cubic root of 36271120 is about 331.0195587241.

Adding to 36271120 its reverse (2117263), we get a palindrome (38388383).

The spelling of 36271120 in words is "thirty-six million, two hundred seventy-one thousand, one hundred twenty".