220604040 has 256 divisors, whose sum is σ = 783820800. Its totient is φ = 55072512.

The previous prime is 220604011. The next prime is 220604047. The reversal of 220604040 is 40406022.

220604040 is a `hidden beast` number, since 2 + 20 + 604 + 0 + 40 = 666.

It is a super-2 number, since 2×220604040² = 97332284928643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220604047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2061667 + ... + 2061773.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^220604040 is an apocalyptic number.

220604040 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 220604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

220604040 is an abundant number, since it is smaller than the sum of its proper divisors (563216760).

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

220604040 is a wasteful number, since it uses less digits than its factorization.

220604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220604040 is about 14852.7452008038. The cubic root of 220604040 is about 604.2330650344.

The spelling of 220604040 in words is "two hundred twenty million, six hundred four thousand, forty".