220993920 has 576 divisors, whose sum is σ = 952333200. Its totient is φ = 48771072.

The previous prime is 220993919. The next prime is 220993943. The reversal of 220993920 is 29399022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620466 + ... + 7620494.

Almost surely, 2^220993920 is an apocalyptic number.

220993920 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 220993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476166600).

220993920 is an abundant number, since it is smaller than the sum of its proper divisors (731339280).

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

220993920 is an equidigital number, since it uses as much as digits as its factorization.

220993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 220993920 is about 14865.8642533826. The cubic root of 220993920 is about 604.5888151557.

The spelling of 220993920 in words is "two hundred twenty million, nine hundred ninety-three thousand, nine hundred twenty".