36220064 has 48 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 16886784.

The previous prime is 36220007. The next prime is 36220069. The reversal of 36220064 is 46002263.

It is not an unprimeable number, because it can be changed into a prime (36220069) 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, 75377 + ... + 75855.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^36220064 is an apocalyptic number.

36220064 is a gapful number since it is divisible by the number (34) 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 36220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

36220064 is an abundant number, since it is smaller than the sum of its proper divisors (39984736).

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

36220064 is a wasteful number, since it uses less digits than its factorization.

36220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 36220064 is about 6018.3107264414. The cubic root of 36220064 is about 330.8641690675.

The spelling of 36220064 in words is "thirty-six million, two hundred twenty thousand, sixty-four".