220971840 has 224 divisors, whose sum is σ = 738688896. Its totient is φ = 55910400.

The previous prime is 220971827. The next prime is 220971847. The reversal of 220971840 is 48179022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220971847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187790 + ... + 2187890.

Almost surely, 2^220971840 is an apocalyptic number.

220971840 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 220971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369344448).

220971840 is an abundant number, since it is smaller than the sum of its proper divisors (517717056).

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

220971840 is a wasteful number, since it uses less digits than its factorization.

220971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 220971840 is about 14865.1215938518. The cubic root of 220971840 is about 604.5686792086.

The spelling of 220971840 in words is "two hundred twenty million, nine hundred seventy-one thousand, eight hundred forty".