10216680 has 64 divisors (see below), whose sum is σ = 32270400. Its totient is φ = 2580480.

The previous prime is 10216663. The next prime is 10216691. The reversal of 10216680 is 8661201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10216680.

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 15 ways as a sum of consecutive naturals, for example, 40 + ... + 4520.

It is an arithmetic number, because the mean of its divisors is an integer number (504225).

Almost surely, 2^10216680 is an apocalyptic number.

10216680 is a gapful number since it is divisible by the number (10) 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 10216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135200).

10216680 is an abundant number, since it is smaller than the sum of its proper divisors (22053720).

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

10216680 is a wasteful number, since it uses less digits than its factorization.

10216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10216680 is about 3196.3541731166. The cubic root of 10216680 is about 216.9884397135.

Adding to 10216680 its reverse (8661201), we get a palindrome (18877881).

The spelling of 10216680 in words is "ten million, two hundred sixteen thousand, six hundred eighty".