219720816 has 160 divisors (see below), whose sum is σ = 728286720. Its totient is φ = 62125056.

The previous prime is 219720799. The next prime is 219720833. The reversal of 219720816 is 618027912.

It is an interprime number because it is at equal distance from previous prime (219720799) and next prime (219720833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341391 + ... + 342033.

It is an arithmetic number, because the mean of its divisors is an integer number (4551792).

Almost surely, 2^219720816 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 219720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364143360).

219720816 is an abundant number, since it is smaller than the sum of its proper divisors (508565904).

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

219720816 is a wasteful number, since it uses less digits than its factorization.

219720816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 219720816 is about 14822.9826958005. The cubic root of 219720816 is about 603.4256048316.

The spelling of 219720816 in words is "two hundred nineteen million, seven hundred twenty thousand, eight hundred sixteen".