10684000 has 48 divisors (see below), whose sum is σ = 26260416. Its totient is φ = 4272000.

The previous prime is 10683997. The next prime is 10684019. The reversal of 10684000 is 48601.

It is a super-2 number, since 2×10684000² = 228295712000000, 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 7 ways as a sum of consecutive naturals, for example, 2665 + ... + 5335.

It is an arithmetic number, because the mean of its divisors is an integer number (547092).

Almost surely, 2^10684000 is an apocalyptic number.

10684000 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 10684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130208).

10684000 is an abundant number, since it is smaller than the sum of its proper divisors (15576416).

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

10684000 is an equidigital number, since it uses as much as digits as its factorization.

10684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10684000 is about 3268.6388604433. The cubic root of 10684000 is about 220.2476549933.

The spelling of 10684000 in words is "ten million, six hundred eighty-four thousand".