220694760 has 256 divisors, whose sum is σ = 864864000. Its totient is φ = 49351680.

The previous prime is 220694753. The next prime is 220694779. The reversal of 220694760 is 67496022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153726 + ... + 155154.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 2^220694760 is an apocalyptic number.

220694760 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 220694760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432000).

220694760 is an abundant number, since it is smaller than the sum of its proper divisors (644169240).

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

220694760 is a wasteful number, since it uses less digits than its factorization.

220694760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 220694760 is about 14855.7988677822. The cubic root of 220694760 is about 604.3158808512.

The spelling of 220694760 in words is "two hundred twenty million, six hundred ninety-four thousand, seven hundred sixty".