219085672 has 32 divisors (see below), whose sum is σ = 461623680. Its totient is φ = 96719040.

The previous prime is 219085663. The next prime is 219085679. The reversal of 219085672 is 276580912.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (219085679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43404 + ... + 48187.

It is an arithmetic number, because the mean of its divisors is an integer number (14425740).

Almost surely, 2^219085672 is an apocalyptic number.

It is an amenable number.

219085672 is an abundant number, since it is smaller than the sum of its proper divisors (242538008).

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

219085672 is a wasteful number, since it uses less digits than its factorization.

219085672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91633 (or 91629 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 219085672 is about 14801.5428925501. The cubic root of 219085672 is about 602.8436055920.

The spelling of 219085672 in words is "two hundred nineteen million, eighty-five thousand, six hundred seventy-two".