10686000 has 160 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 2611200.

The previous prime is 10685981. The next prime is 10686023. The reversal of 10686000 is 68601.

10686000 = T₃₁₁ + T₃₁₂ + ... + T₄₅₄.

It is a super-2 number, since 2×10686000² = 228381192000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77932 + ... + 78068.

Almost surely, 2^10686000 is an apocalyptic number.

10686000 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 10686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

10686000 is an abundant number, since it is smaller than the sum of its proper divisors (26686608).

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

10686000 is a wasteful number, since it uses less digits than its factorization.

10686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

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

The square root of 10686000 is about 3268.9447838714. The cubic root of 10686000 is about 220.2613972817.

The spelling of 10686000 in words is "ten million, six hundred eighty-six thousand".