220535776 has 48 divisors (see below), whose sum is σ = 457380000. Its totient is φ = 104467968.

The previous prime is 220535771. The next prime is 220535789. The reversal of 220535776 is 677535022.

220535776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220535771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78850 + ... + 81598.

It is an arithmetic number, because the mean of its divisors is an integer number (9528750).

Almost surely, 2^220535776 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 220535776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228690000).

220535776 is an abundant number, since it is smaller than the sum of its proper divisors (236844224).

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

220535776 is a wasteful number, since it uses less digits than its factorization.

220535776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 220535776 is about 14850.4469966395. The cubic root of 220535776 is about 604.1707337171.

The spelling of 220535776 in words is "two hundred twenty million, five hundred thirty-five thousand, seven hundred seventy-six".