216649056 has 96 divisors (see below), whose sum is σ = 621831168. Its totient is φ = 65640960.

The previous prime is 216649031. The next prime is 216649057. The reversal of 216649056 is 650946612.

216649056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×216649056² = 93873626931382272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216649057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82321 + ... + 84911.

It is an arithmetic number, because the mean of its divisors is an integer number (6477408).

Almost surely, 2^216649056 is an apocalyptic number.

216649056 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 216649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310915584).

216649056 is an abundant number, since it is smaller than the sum of its proper divisors (405182112).

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

216649056 is a wasteful number, since it uses less digits than its factorization.

216649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 216649056 is about 14719.0032271211. The cubic root of 216649056 is about 600.6003768235.

The spelling of 216649056 in words is "two hundred sixteen million, six hundred forty-nine thousand, fifty-six".