10680000 has 140 divisors (see below), whose sum is σ = 35707320. Its totient is φ = 2816000.

The previous prime is 10679993. The next prime is 10680011. The reversal of 10680000 is 8601.

It is a super-2 number, since 2×10680000² = 228124800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119956 + ... + 120044.

Almost surely, 2^10680000 is an apocalyptic number.

10680000 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 10680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853660).

10680000 is an abundant number, since it is smaller than the sum of its proper divisors (25027320).

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

10680000 is an frugal number, since it uses more digits than its factorization.

10680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10680000 is about 3268.0269276736. The cubic root of 10680000 is about 220.2201652708.

Adding to 10680000 its reverse (8601), we get a palindrome (10688601).

The spelling of 10680000 in words is "ten million, six hundred eighty thousand".