220376968 has 64 divisors (see below), whose sum is σ = 493153920. Its totient is φ = 90355200.

The previous prime is 220376941. The next prime is 220376969. The reversal of 220376968 is 869673022.

It is a super-3 number, since 3×220376968³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220376969) 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 15 ways as a sum of consecutive naturals, for example, 120783 + ... + 122593.

It is an arithmetic number, because the mean of its divisors is an integer number (7705530).

Almost surely, 2^220376968 is an apocalyptic number.

220376968 is a gapful number since it is divisible by the number (28) 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 220376968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246576960).

220376968 is an abundant number, since it is smaller than the sum of its proper divisors (272776952).

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

220376968 is a wasteful number, since it uses less digits than its factorization.

220376968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 220376968 is about 14845.0991239533. The cubic root of 220376968 is about 604.0256776067.

The spelling of 220376968 in words is "two hundred twenty million, three hundred seventy-six thousand, nine hundred sixty-eight".