36105280 has 56 divisors (see below), whose sum is σ = 91046808. Its totient is φ = 13590528.

The previous prime is 36105271. The next prime is 36105287. The reversal of 36105280 is 8250163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 35426304 = 824^2 + 5952^2 .

It is a super-3 number, since 3×36105280³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36105287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2122 + ... + 8758.

Almost surely, 2^36105280 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 36105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45523404).

36105280 is an abundant number, since it is smaller than the sum of its proper divisors (54941528).

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

36105280 is a wasteful number, since it uses less digits than its factorization.

36105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 36105280 is about 6008.7669284138. The cubic root of 36105280 is about 330.5142883880.

The spelling of 36105280 in words is "thirty-six million, one hundred five thousand, two hundred eighty".