216677920 has 96 divisors (see below), whose sum is σ = 556921008. Its totient is φ = 79331328.

The previous prime is 216677911. The next prime is 216677927. The reversal of 216677920 is 29776612.

It can be written as a sum of positive squares in 8 ways, for example, as 118984464 + 97693456 = 10908^2 + 9884^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (216677927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99564 + ... + 101716.

Almost surely, 2^216677920 is an apocalyptic number.

216677920 is a gapful number since it is divisible by the number (20) 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 216677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460504).

216677920 is an abundant number, since it is smaller than the sum of its proper divisors (340243088).

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

216677920 is a wasteful number, since it uses less digits than its factorization.

216677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 216677920 is about 14719.9836956431. The cubic root of 216677920 is about 600.6270481598.

The spelling of 216677920 in words is "two hundred sixteen million, six hundred seventy-seven thousand, nine hundred twenty".