220006440 has 192 divisors, whose sum is σ = 746928000. Its totient is φ = 56111616.

The previous prime is 220006439. The next prime is 220006481. The reversal of 220006440 is 44600022.

220006440 is a `hidden beast` number, since 2 + 20 + 0 + 0 + 644 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105461 + ... + 1105659.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^220006440 is an apocalyptic number.

220006440 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 220006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

220006440 is an abundant number, since it is smaller than the sum of its proper divisors (526921560).

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

220006440 is a wasteful number, since it uses less digits than its factorization.

220006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

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

The square root of 220006440 is about 14832.6140649583. The cubic root of 220006440 is about 603.6869640861.

Adding to 220006440 its reverse (44600022), we get a palindrome (264606462).

The spelling of 220006440 in words is "two hundred twenty million, six thousand, four hundred forty".