220792 has 32 divisors (see below), whose sum is σ = 488880. Its totient is φ = 92160.

The previous prime is 220789. The next prime is 220793. The reversal of 220792 is 297022.

220792 = 3⁵ + 4⁵ + ... + 10⁵.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048 + ... + 1240.

2²²⁰⁷⁹² is an apocalyptic number.

220792 is a gapful number since it is divisible by the number (22) 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 220792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244440).

220792 is an abundant number, since it is smaller than the sum of its proper divisors (268088).

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

220792 is a wasteful number, since it uses less digits than its factorization.

220792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 220792 is about 469.8850923364. The cubic root of 220792 is about 60.4404623402.

The spelling of 220792 in words is "two hundred twenty thousand, seven hundred ninety-two".