10459120 has 80 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 3393792.

The previous prime is 10459103. The next prime is 10459147. The reversal of 10459120 is 2195401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10459091 and 10459100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10149 + ... + 11131.

It is an arithmetic number, because the mean of its divisors is an integer number (366048).

Almost surely, 2^10459120 is an apocalyptic number.

10459120 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 10459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

10459120 is an abundant number, since it is smaller than the sum of its proper divisors (18824720).

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

10459120 is a wasteful number, since it uses less digits than its factorization.

10459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 10459120 is about 3234.0562765666. The cubic root of 10459120 is about 218.6914052585.

The spelling of 10459120 in words is "ten million, four hundred fifty-nine thousand, one hundred twenty".