219136896 has 96 divisors (see below), whose sum is σ = 687955320. Its totient is φ = 66401280.

The previous prime is 219136891. The next prime is 219136909. The reversal of 219136896 is 698631912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219136891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4026 + ... + 21318.

Almost surely, 2^219136896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343977660).

219136896 is an abundant number, since it is smaller than the sum of its proper divisors (468818424).

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

219136896 is a wasteful number, since it uses less digits than its factorization.

219136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17324 (or 17309 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 219136896 is about 14803.2731515702. The cubic root of 219136896 is about 602.8905851658.

Adding to 219136896 its product of digits (139968), we get a square (219276864 = 14808²).

The spelling of 219136896 in words is "two hundred nineteen million, one hundred thirty-six thousand, eight hundred ninety-six".