219829680 has 480 divisors, whose sum is σ = 922798080. Its totient is φ = 47900160.

The previous prime is 219829679. The next prime is 219829723. The reversal of 219829680 is 86928912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3281007 + ... + 3281073.

It is an arithmetic number, because the mean of its divisors is an integer number (1922496).

Almost surely, 2^219829680 is an apocalyptic number.

219829680 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 219829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461399040).

219829680 is an abundant number, since it is smaller than the sum of its proper divisors (702968400).

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

219829680 is a wasteful number, since it uses less digits than its factorization.

219829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 219829680 is about 14826.6543764937. The cubic root of 219829680 is about 603.5252471564.

It can be divided in two parts, 2198 and 29680, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 219829680 in words is "two hundred nineteen million, eight hundred twenty-nine thousand, six hundred eighty".