220832640 has 192 divisors, whose sum is σ = 871659360. Its totient is φ = 50466816.

The previous prime is 220832639. The next prime is 220832641. The reversal of 220832640 is 46238022.

It is an interprime number because it is at equal distance from previous prime (220832639) and next prime (220832641).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220832641) 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 23 ways as a sum of consecutive naturals, for example, 37582 + ... + 43058.

Almost surely, 2^220832640 is an apocalyptic number.

220832640 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 220832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435829680).

220832640 is an abundant number, since it is smaller than the sum of its proper divisors (650826720).

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

220832640 is a wasteful number, since it uses less digits than its factorization.

220832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 220832640 is about 14860.4387552993. The cubic root of 220832640 is about 604.4417043000.

The spelling of 220832640 in words is "two hundred twenty million, eight hundred thirty-two thousand, six hundred forty".