10684960 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 3578880.

The previous prime is 10684951. The next prime is 10684967. The reversal of 10684960 is 6948601.

It is a super-2 number, since 2×10684960² = 228336740403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10684967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22647 + ... + 23113.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^10684960 is an apocalyptic number.

10684960 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 10684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

10684960 is an abundant number, since it is smaller than the sum of its proper divisors (19034912).

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

10684960 is a wasteful number, since it uses less digits than its factorization.

10684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 10684960 is about 3268.7857072619. The cubic root of 10684960 is about 220.2542515058.

The spelling of 10684960 in words is "ten million, six hundred eighty-four thousand, nine hundred sixty".