220948 has 24 divisors (see below), whose sum is σ = 476672. Its totient is φ = 87264.

The previous prime is 220939. The next prime is 220973. The reversal of 220948 is 849022.

It is a congruent number.

It is an unprimeable number.

220948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 667.

2²²⁰⁹⁴⁸ is an apocalyptic number.

220948 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 220948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238336).

220948 is an abundant number, since it is smaller than the sum of its proper divisors (255724).

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

220948 is a wasteful number, since it uses less digits than its factorization.

220948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 220948 is about 470.0510610561. The cubic root of 220948 is about 60.4546936716.

The spelling of 220948 in words is "two hundred twenty thousand, nine hundred forty-eight".