10207680 has 224 divisors, whose sum is σ = 39014400. Its totient is φ = 2257920.

The previous prime is 10207657. The next prime is 10207697. The reversal of 10207680 is 8670201.

It is a tau number, because it is divible by the number of its divisors (224).

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 10207680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329265 + ... + 329295.

Almost surely, 2^10207680 is an apocalyptic number.

10207680 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 10207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507200).

10207680 is an abundant number, since it is smaller than the sum of its proper divisors (28806720).

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

10207680 is an equidigital number, since it uses as much as digits as its factorization.

10207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10207680 is about 3194.9460089335. The cubic root of 10207680 is about 216.9247050599.

Adding to 10207680 its reverse (8670201), we get a palindrome (18877881).

It can be divided in two parts, 10 and 207680, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 10207680 in words is "ten million, two hundred seven thousand, six hundred eighty".