220798176 has 96 divisors (see below), whose sum is σ = 617748768. Its totient is φ = 68812800.

The previous prime is 220798153. The next prime is 220798189. The reversal of 220798176 is 671897022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 314626 + ... + 315326.

It is an arithmetic number, because the mean of its divisors is an integer number (6434883).

Almost surely, 2^220798176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220798176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308874384).

220798176 is an abundant number, since it is smaller than the sum of its proper divisors (396950592).

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

220798176 is a wasteful number, since it uses less digits than its factorization.

220798176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 220798176 is about 14859.2791211418. The cubic root of 220798176 is about 604.4102588237.

The spelling of 220798176 in words is "two hundred twenty million, seven hundred ninety-eight thousand, one hundred seventy-six".