10683120 has 80 divisors (see below), whose sum is σ = 37854720. Its totient is φ = 2441472.

The previous prime is 10683103. The next prime is 10683139. The reversal of 10683120 is 2138601.

10683120 = T₁₉₀ + T₁₉₁ + ... + T₄₁₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10683120² = 228258105868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1500 + ... + 4859.

It is an arithmetic number, because the mean of its divisors is an integer number (473184).

Almost surely, 2^10683120 is an apocalyptic number.

10683120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10683120 is an abundant number, since it is smaller than the sum of its proper divisors (27171600).

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

10683120 is a wasteful number, since it uses less digits than its factorization.

10683120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10683120 is about 3268.5042450638. The cubic root of 10683120 is about 220.2416078432.

The spelling of 10683120 in words is "ten million, six hundred eighty-three thousand, one hundred twenty".