10605840 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2360832.

The previous prime is 10605827. The next prime is 10605871. The reversal of 10605840 is 4850601.

It is a super-2 number, since 2×10605840² = 224967684211200, 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 10605840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99067 + ... + 99173.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^10605840 is an apocalyptic number.

10605840 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 10605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

10605840 is an abundant number, since it is smaller than the sum of its proper divisors (27963120).

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

10605840 is a wasteful number, since it uses less digits than its factorization.

10605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10605840 is about 3256.6608665933. The cubic root of 10605840 is about 219.7092578106.

The spelling of 10605840 in words is "ten million, six hundred five thousand, eight hundred forty".