220424064 has 64 divisors (see below), whose sum is σ = 669152640. Its totient is φ = 62977536.

The previous prime is 220424047. The next prime is 220424069. The reversal of 220424064 is 460424022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220424069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38314 + ... + 43689.

It is an arithmetic number, because the mean of its divisors is an integer number (10455510).

Almost surely, 2^220424064 is an apocalyptic number.

220424064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220424064 is an abundant number, since it is smaller than the sum of its proper divisors (448728576).

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

220424064 is an equidigital number, since it uses as much as digits as its factorization.

220424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82027 (or 82015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 220424064 is about 14846.6852866221. The cubic root of 220424064 is about 604.0687026217.

Adding to 220424064 its reverse (460424022), we get a palindrome (680848086).

It can be divided in two parts, 22042 and 4064, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 220424064 in words is "two hundred twenty million, four hundred twenty-four thousand, sixty-four".