10456080 has 80 divisors (see below), whose sum is σ = 34134720. Its totient is φ = 2640384.

The previous prime is 10456079. The next prime is 10456097. The reversal of 10456080 is 8065401.

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

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 10456080.

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, 3414 + ... + 5706.

It is an arithmetic number, because the mean of its divisors is an integer number (426684).

Almost surely, 2^10456080 is an apocalyptic number.

10456080 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 10456080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067360).

10456080 is an abundant number, since it is smaller than the sum of its proper divisors (23678640).

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

10456080 is a wasteful number, since it uses less digits than its factorization.

10456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2322 counting only the distinct ones).

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

The square root of 10456080 is about 3233.5862444042. The cubic root of 10456080 is about 218.6702152574.

The spelling of 10456080 in words is "ten million, four hundred fifty-six thousand, eighty".