216904776 has 64 divisors (see below), whose sum is σ = 601300800. Its totient is φ = 64646400.

The previous prime is 216904769. The next prime is 216904781. The reversal of 216904776 is 677409612.

216904776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216904776² = 94095363703220352, which contains 22 as substring.

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, 9370 + ... + 22838.

It is an arithmetic number, because the mean of its divisors is an integer number (9395325).

Almost surely, 2^216904776 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 216904776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300650400).

216904776 is an abundant number, since it is smaller than the sum of its proper divisors (384396024).

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

216904776 is a wasteful number, since it uses less digits than its factorization.

216904776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13550 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 216904776 is about 14727.6873948356. The cubic root of 216904776 is about 600.8365885461.

The spelling of 216904776 in words is "two hundred sixteen million, nine hundred four thousand, seven hundred seventy-six".