219856896 has 240 divisors, whose sum is σ = 754951680. Its totient is φ = 61931520.

The previous prime is 219856873. The next prime is 219856909. The reversal of 219856896 is 698658912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096541 + ... + 3096611.

It is an arithmetic number, because the mean of its divisors is an integer number (3145632).

Almost surely, 2^219856896 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 219856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377475840).

219856896 is an abundant number, since it is smaller than the sum of its proper divisors (535094784).

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

219856896 is an frugal number, since it uses more digits than its factorization.

219856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 219856896 is about 14827.5721546044. The cubic root of 219856896 is about 603.5501525973.

The spelling of 219856896 in words is "two hundred nineteen million, eight hundred fifty-six thousand, eight hundred ninety-six".