10681440 has 288 divisors, whose sum is σ = 44561664. Its totient is φ = 2088960.

The previous prime is 10681421. The next prime is 10681441. The reversal of 10681440 is 4418601.

It is a super-2 number, since 2×10681440² = 228186320947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10681440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628312 + ... + 628328.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

Almost surely, 2^10681440 is an apocalyptic number.

10681440 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 10681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280832).

10681440 is an abundant number, since it is smaller than the sum of its proper divisors (33880224).

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

10681440 is a wasteful number, since it uses less digits than its factorization.

10681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10681440 is about 3268.2472366698. The cubic root of 10681440 is about 220.2300623615.

The spelling of 10681440 in words is "ten million, six hundred eighty-one thousand, four hundred forty".