220635440 has 80 divisors (see below), whose sum is σ = 531796320. Its totient is φ = 85063680.

The previous prime is 220635433. The next prime is 220635491. The reversal of 220635440 is 44536022.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 387476 + ... + 388044.

It is an arithmetic number, because the mean of its divisors is an integer number (6647454).

Almost surely, 2^220635440 is an apocalyptic number.

220635440 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 220635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265898160).

220635440 is an abundant number, since it is smaller than the sum of its proper divisors (311160880).

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

220635440 is a wasteful number, since it uses less digits than its factorization.

220635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 220635440 is about 14853.8022068425. The cubic root of 220635440 is about 604.2617318079.

The spelling of 220635440 in words is "two hundred twenty million, six hundred thirty-five thousand, four hundred forty".