10205680 has 80 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 3820544.

The previous prime is 10205669. The next prime is 10205683. The reversal of 10205680 is 8650201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205683) 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, 122919 + ... + 123001.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 2^10205680 is an apocalyptic number.

10205680 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 10205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

10205680 is an abundant number, since it is smaller than the sum of its proper divisors (15105200).

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

10205680 is a wasteful number, since it uses less digits than its factorization.

10205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10205680 is about 3194.6329992661. The cubic root of 10205680 is about 216.9105367164.

Adding to 10205680 its reverse (8650201), we get a palindrome (18855881).

The spelling of 10205680 in words is "ten million, two hundred five thousand, six hundred eighty".