36226080 has 144 divisors (see below), whose sum is σ = 134918784. Its totient is φ = 8778240.

The previous prime is 36226067. The next prime is 36226087. The reversal of 36226080 is 8062263.

36226080 is a `hidden beast` number, since 36 + 22 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (36226087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14697 + ... + 16983.

It is an arithmetic number, because the mean of its divisors is an integer number (936936).

Almost surely, 2^36226080 is an apocalyptic number.

36226080 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 36226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459392).

36226080 is an abundant number, since it is smaller than the sum of its proper divisors (98692704).

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

36226080 is a wasteful number, since it uses less digits than its factorization.

36226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36226080 is about 6018.8105137145. The cubic root of 36226080 is about 330.8824864348.

The spelling of 36226080 in words is "thirty-six million, two hundred twenty-six thousand, eighty".