220687740 has 288 divisors, whose sum is σ = 856128000. Its totient is φ = 46469376.

The previous prime is 220687681. The next prime is 220687751. The reversal of 220687740 is 47786022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220687695 and 220687704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442011 + ... + 442509.

Almost surely, 2^220687740 is an apocalyptic number.

220687740 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 220687740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064000).

220687740 is an abundant number, since it is smaller than the sum of its proper divisors (635440260).

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

220687740 is a wasteful number, since it uses less digits than its factorization.

220687740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 220687740 is about 14855.5625945300. The cubic root of 220687740 is about 604.3094732946.

The spelling of 220687740 in words is "two hundred twenty million, six hundred eighty-seven thousand, seven hundred forty".