220610064 has 80 divisors (see below), whose sum is σ = 608532480. Its totient is φ = 68664960.

The previous prime is 220610063. The next prime is 220610077. The reversal of 220610064 is 460016022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 220610064.

It is not an unprimeable number, because it can be changed into a prime (220610063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63049 + ... + 66455.

It is an arithmetic number, because the mean of its divisors is an integer number (7606656).

Almost surely, 2^220610064 is an apocalyptic number.

220610064 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 220610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304266240).

220610064 is an abundant number, since it is smaller than the sum of its proper divisors (387922416).

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

220610064 is a wasteful number, since it uses less digits than its factorization.

220610064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 220610064 is about 14852.9479902139. The cubic root of 220610064 is about 604.2385648836.

Adding to 220610064 its reverse (460016022), we get a palindrome (680626086).

The spelling of 220610064 in words is "two hundred twenty million, six hundred ten thousand, sixty-four".