10080456 has 64 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3056640.

The previous prime is 10080451. The next prime is 10080457. The reversal of 10080456 is 65408001.

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

It is not an unprimeable number, because it can be changed into a prime (10080451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12250 + ... + 13046.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^10080456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10080456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10080456 is an abundant number, since it is smaller than the sum of its proper divisors (17498424).

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

10080456 is a wasteful number, since it uses less digits than its factorization.

10080456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 850 counting only the distinct ones).

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

The square root of 10080456 is about 3174.9733857152. The cubic root of 10080456 is about 216.0197169930.

Adding to 10080456 its reverse (65408001), we get a palindrome (75488457).

The spelling of 10080456 in words is "ten million, eighty thousand, four hundred fifty-six".