10683840 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 2749440.

The previous prime is 10683791. The next prime is 10683847. The reversal of 10683840 is 4838601.

It is a happy number.

It is a super-2 number, since 2×10683840² = 228288874291200, 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 = 10683798 and 10683807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10683847) 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, 29581 + ... + 29939.

Almost surely, 2^10683840 is an apocalyptic number.

10683840 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 10683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

10683840 is an abundant number, since it is smaller than the sum of its proper divisors (24429120).

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

10683840 is a wasteful number, since it uses less digits than its factorization.

10683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10683840 is about 3268.6143853321. The cubic root of 10683840 is about 220.2465555362.

The spelling of 10683840 in words is "ten million, six hundred eighty-three thousand, eight hundred forty".