216355776 has 336 divisors, whose sum is σ = 754014240. Its totient is φ = 54190080.

The previous prime is 216355759. The next prime is 216355781. The reversal of 216355776 is 677553612.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546786 + ... + 3546846.

It is an arithmetic number, because the mean of its divisors is an integer number (2244090).

Almost surely, 2^216355776 is an apocalyptic number.

216355776 is a gapful number since it is divisible by the number (26) 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 216355776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377007120).

216355776 is an abundant number, since it is smaller than the sum of its proper divisors (537658464).

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

216355776 is a wasteful number, since it uses less digits than its factorization.

216355776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 216355776 is about 14709.0372220618. The cubic root of 216355776 is about 600.3292415225.

The spelling of 216355776 in words is "two hundred sixteen million, three hundred fifty-five thousand, seven hundred seventy-six".