220966704 has 240 divisors, whose sum is σ = 766950912. Its totient is φ = 60217344.

The previous prime is 220966661. The next prime is 220966709. The reversal of 220966704 is 407669022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (220966709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625792 + ... + 626144.

Almost surely, 2^220966704 is an apocalyptic number.

220966704 is a gapful number since it is divisible by the number (24) 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 220966704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383475456).

220966704 is an abundant number, since it is smaller than the sum of its proper divisors (545984208).

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

220966704 is a wasteful number, since it uses less digits than its factorization.

220966704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

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

The square root of 220966704 is about 14864.9488394680. The cubic root of 220966704 is about 604.5639952199.

The spelling of 220966704 in words is "two hundred twenty million, nine hundred sixty-six thousand, seven hundred four".