10680960 has 64 divisors (see below), whose sum is σ = 34051680. Its totient is φ = 2847744.

The previous prime is 10680959. The next prime is 10680973. The reversal of 10680960 is 6908601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10680960² = 228165813043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 4701.

Almost surely, 2^10680960 is an apocalyptic number.

10680960 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 10680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025840).

10680960 is an abundant number, since it is smaller than the sum of its proper divisors (23370720).

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

10680960 is an equidigital number, since it uses as much as digits as its factorization.

10680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10680960 is about 3268.1738019879. The cubic root of 10680960 is about 220.2267634301.

The spelling of 10680960 in words is "ten million, six hundred eighty thousand, nine hundred sixty".