10681880 has 48 divisors (see below), whose sum is σ = 26429760. Its totient is φ = 3882560.

The previous prime is 10681859. The next prime is 10681883. The reversal of 10681880 is 8818601.

It is a happy number.

10681880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10681880² = 228205120668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3737 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 2^10681880 is an apocalyptic number.

10681880 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 10681880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214880).

10681880 is an abundant number, since it is smaller than the sum of its proper divisors (15747880).

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

10681880 is a wasteful number, since it uses less digits than its factorization.

10681880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 10681880 is about 3268.3145503455. The cubic root of 10681880 is about 220.2330862951.

The spelling of 10681880 in words is "ten million, six hundred eighty-one thousand, eight hundred eighty".