220661280 has 192 divisors, whose sum is σ = 882766080. Its totient is φ = 50429952.

The previous prime is 220661279. The next prime is 220661281. The reversal of 220661280 is 82166022.

It is an interprime number because it is at equal distance from previous prime (220661279) and next prime (220661281).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220661281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26592 + ... + 33888.

It is an arithmetic number, because the mean of its divisors is an integer number (4597740).

Almost surely, 2^220661280 is an apocalyptic number.

220661280 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 220661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441383040).

220661280 is an abundant number, since it is smaller than the sum of its proper divisors (662104800).

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

220661280 is a wasteful number, since it uses less digits than its factorization.

220661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220661280 is about 14854.6719923396. The cubic root of 220661280 is about 604.2853205139.

The spelling of 220661280 in words is "two hundred twenty million, six hundred sixty-one thousand, two hundred eighty".