10198080 has 84 divisors (see below), whose sum is σ = 35087052. Its totient is φ = 2718720.

The previous prime is 10198073. The next prime is 10198093. The reversal of 10198080 is 8089101.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 6230016 = 1992^2 + 2496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1110 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (417703).

Almost surely, 2^10198080 is an apocalyptic number.

10198080 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 10198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543526).

10198080 is an abundant number, since it is smaller than the sum of its proper divisors (24888972).

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

10198080 is a wasteful number, since it uses less digits than its factorization.

10198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10198080 is about 3193.4432827279. The cubic root of 10198080 is about 216.8566801236.

The spelling of 10198080 in words is "ten million, one hundred ninety-eight thousand, eighty".