216911904 has 144 divisors (see below), whose sum is σ = 656722080. Its totient is φ = 62161920.

The previous prime is 216911899. The next prime is 216911917. The reversal of 216911904 is 409119612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380932 + ... + 381500.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2^216911904 is an apocalyptic number.

216911904 is a gapful number since it is divisible by the number (24) 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 216911904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328361040).

216911904 is an abundant number, since it is smaller than the sum of its proper divisors (439810176).

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

216911904 is a wasteful number, since it uses less digits than its factorization.

216911904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 216911904 is about 14727.9293860339. The cubic root of 216911904 is about 600.8431701075.

The spelling of 216911904 in words is "two hundred sixteen million, nine hundred eleven thousand, nine hundred four".