10217680 has 80 divisors (see below), whose sum is σ = 27480384. Its totient is φ = 3491840.

The previous prime is 10217671. The next prime is 10217707. The reversal of 10217680 is 8671201.

10217680 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 (80).

It is a congruent number.

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, 14619 + ... + 15301.

Almost surely, 2^10217680 is an apocalyptic number.

10217680 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 10217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740192).

10217680 is an abundant number, since it is smaller than the sum of its proper divisors (17262704).

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

10217680 is a wasteful number, since it uses less digits than its factorization.

10217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10217680 is about 3196.5105975110. The cubic root of 10217680 is about 216.9955190308.

Adding to 10217680 its reverse (8671201), we get a palindrome (18888881).

The spelling of 10217680 in words is "ten million, two hundred seventeen thousand, six hundred eighty".