10685000 has 40 divisors (see below), whose sum is σ = 25046670. Its totient is φ = 4272000.

The previous prime is 10684997. The next prime is 10685023. The reversal of 10685000 is 58601.

It can be written as a sum of positive squares in 5 ways, for example, as 329476 + 10355524 = 574^2 + 3218^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10685000² = 228338450000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3932 + ... + 6068.

Almost surely, 2^10685000 is an apocalyptic number.

10685000 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 10685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523335).

10685000 is an abundant number, since it is smaller than the sum of its proper divisors (14361670).

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

10685000 is an equidigital number, since it uses as much as digits as its factorization.

10685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10685000 is about 3268.7918257362. The cubic root of 10685000 is about 220.2545263519.

The spelling of 10685000 in words is "ten million, six hundred eighty-five thousand".