220498960 has 80 divisors (see below), whose sum is σ = 561696192. Its totient is φ = 79833600.

The previous prime is 220498931. The next prime is 220498981. The reversal of 220498960 is 69894022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×220498960² = 97239582722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290902 + ... + 291658.

Almost surely, 2^220498960 is an apocalyptic number.

220498960 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 220498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280848096).

220498960 is an abundant number, since it is smaller than the sum of its proper divisors (341197232).

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

220498960 is a wasteful number, since it uses less digits than its factorization.

220498960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 220498960 is about 14849.2073862547. The cubic root of 220498960 is about 604.1371119801.

The spelling of 220498960 in words is "two hundred twenty million, four hundred ninety-eight thousand, nine hundred sixty".