36261120 has 288 divisors, whose sum is σ = 141281280. Its totient is φ = 7741440.

The previous prime is 36261077. The next prime is 36261131. The reversal of 36261120 is 2116263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510685 + ... + 510755.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 2^36261120 is an apocalyptic number.

36261120 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 36261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

36261120 is an abundant number, since it is smaller than the sum of its proper divisors (105020160).

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

36261120 is a wasteful number, since it uses less digits than its factorization.

36261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 36261120 is about 6021.7206843227. The cubic root of 36261120 is about 330.9891350717.

Adding to 36261120 its reverse (2116263), we get a palindrome (38377383).

The spelling of 36261120 in words is "thirty-six million, two hundred sixty-one thousand, one hundred twenty".