10263680 has 128 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3354624.

The previous prime is 10263679. The next prime is 10263683. The reversal of 10263680 is 8636201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10263683) 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, 129881 + ... + 129959.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 2^10263680 is an apocalyptic number.

10263680 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 10263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10263680 is an abundant number, since it is smaller than the sum of its proper divisors (19112320).

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

10263680 is an equidigital number, since it uses as much as digits as its factorization.

10263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10263680 is about 3203.6978634072. The cubic root of 10263680 is about 217.3206695504.

Adding to 10263680 its reverse (8636201), we get a palindrome (18899881).

The spelling of 10263680 in words is "ten million, two hundred sixty-three thousand, six hundred eighty".