10781680 has 80 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 3409920.

The previous prime is 10781677. The next prime is 10781681. The reversal of 10781680 is 8618701.

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 (10781681) 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, 6540 + ... + 8020.

Almost surely, 2^10781680 is an apocalyptic number.

10781680 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 10781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

10781680 is an abundant number, since it is smaller than the sum of its proper divisors (20091344).

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

10781680 is a wasteful number, since it uses less digits than its factorization.

10781680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 10781680 is about 3283.5468627690. The cubic root of 10781680 is about 220.9168350020.

The spelling of 10781680 in words is "ten million, seven hundred eighty-one thousand, six hundred eighty".