36221760 has 84 divisors (see below), whose sum is σ = 124597668. Its totient is φ = 9658368.

The previous prime is 36221753. The next prime is 36221761. The reversal of 36221760 is 6712263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24443136 + 11778624 = 4944^2 + 3432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36221761) 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, 3409 + ... + 9168.

Almost surely, 2^36221760 is an apocalyptic number.

36221760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36221760 is an abundant number, since it is smaller than the sum of its proper divisors (88375908).

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

36221760 is a wasteful number, since it uses less digits than its factorization.

36221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12600 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36221760 is about 6018.4516281183. The cubic root of 36221760 is about 330.8693332114.

It can be divided in two parts, 362 and 21760, that added together give a palindrome (22122).

The spelling of 36221760 in words is "thirty-six million, two hundred twenty-one thousand, seven hundred sixty".