219000680 has 48 divisors (see below), whose sum is σ = 505218060. Its totient is φ = 85437440.

The previous prime is 219000679. The next prime is 219000697. The reversal of 219000680 is 86000912.

It can be written as a sum of positive squares in 6 ways, for example, as 25623844 + 193376836 = 5062^2 + 13906^2 .

It is a super-2 number, since 2×219000680² = 95922595680924800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65612 + ... + 68868.

Almost surely, 2^219000680 is an apocalyptic number.

219000680 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 219000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252609030).

219000680 is an abundant number, since it is smaller than the sum of its proper divisors (286217380).

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

219000680 is a wasteful number, since it uses less digits than its factorization.

219000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 219000680 is about 14798.6715620018. The cubic root of 219000680 is about 602.7656398807.

The spelling of 219000680 in words is "two hundred nineteen million, six hundred eighty", and thus it is an aban number.