10478080 has 40 divisors (see below), whose sum is σ = 25128972. Its totient is φ = 4190208.

The previous prime is 10478071. The next prime is 10478089. The reversal of 10478080 is 8087401.

It is an interprime number because it is at equal distance from previous prime (10478071) and next prime (10478089).

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 135424 = 3216^2 + 368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10478089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514 + ... + 4606.

Almost surely, 2^10478080 is an apocalyptic number.

10478080 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 10478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12564486).

10478080 is an abundant number, since it is smaller than the sum of its proper divisors (14650892).

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

10478080 is an frugal number, since it uses more digits than its factorization.

10478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10478080 is about 3236.9862526739. The cubic root of 10478080 is about 218.8234713749.

The spelling of 10478080 in words is "ten million, four hundred seventy-eight thousand, eighty".