10807440 has 120 divisors (see below), whose sum is σ = 39015360. Its totient is φ = 2467584.

The previous prime is 10807439. The next prime is 10807451. The reversal of 10807440 is 4470801.

It is a tau number, because it is divible by the number of its divisors (120).

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 10807440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11301 + ... + 12219.

It is an arithmetic number, because the mean of its divisors is an integer number (325128).

Almost surely, 2^10807440 is an apocalyptic number.

10807440 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 10807440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507680).

10807440 is an abundant number, since it is smaller than the sum of its proper divisors (28207920).

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

10807440 is a wasteful number, since it uses less digits than its factorization.

10807440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10807440 is about 3287.4671101016. The cubic root of 10807440 is about 221.0926360347.

The spelling of 10807440 in words is "ten million, eight hundred seven thousand, four hundred forty".