220674960 has 360 divisors, whose sum is σ = 868303800. Its totient is φ = 50012160.

The previous prime is 220674953. The next prime is 220674973. The reversal of 220674960 is 69476022.

It is a happy number.

220674960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 207014544 = 3696^2 + 14388^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1480966 + ... + 1481114.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^220674960 is an apocalyptic number.

220674960 is a gapful number since it is divisible by the number (20) 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 220674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434151900).

220674960 is an abundant number, since it is smaller than the sum of its proper divisors (647628840).

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

220674960 is a wasteful number, since it uses less digits than its factorization.

220674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 220674960 is about 14855.1324463971. The cubic root of 220674960 is about 604.2978079069.

The spelling of 220674960 in words is "two hundred twenty million, six hundred seventy-four thousand, nine hundred sixty".