36541120 has 112 divisors (see below), whose sum is σ = 108557568. Its totient is φ = 11381760.

The previous prime is 36541097. The next prime is 36541129. The reversal of 36541120 is 2114563.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 36541091 and 36541100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36541129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23899 + ... + 25381.

It is an arithmetic number, because the mean of its divisors is an integer number (969264).

Almost surely, 2^36541120 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 36541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54278784).

36541120 is an abundant number, since it is smaller than the sum of its proper divisors (72016448).

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

36541120 is a wasteful number, since it uses less digits than its factorization.

36541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 36541120 is about 6044.9251442843. The cubic root of 36541120 is about 331.8388921719.

Adding to 36541120 its reverse (2114563), we get a palindrome (38655683).

It can be divided in two parts, 3654 and 1120, that added together give a palindrome (4774).

The spelling of 36541120 in words is "thirty-six million, five hundred forty-one thousand, one hundred twenty".