10686540 has 48 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 2681856.

The previous prime is 10686539. The next prime is 10686541. The reversal of 10686540 is 4568601.

It is an interprime number because it is at equal distance from previous prime (10686539) and next prime (10686541).

It is a super-2 number, since 2×10686540² = 228404274343200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10686498 and 10686507.

It is not an unprimeable number, because it can be changed into a prime (10686541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219 + ... + 6258.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 2^10686540 is an apocalyptic number.

10686540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10686540 is an abundant number, since it is smaller than the sum of its proper divisors (20998932).

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

10686540 is a wasteful number, since it uses less digits than its factorization.

10686540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10686540 is about 3269.0273782885. The cubic root of 10686540 is about 220.2651074056.

The spelling of 10686540 in words is "ten million, six hundred eighty-six thousand, five hundred forty".