10198440 has 256 divisors, whose sum is σ = 41472000. Its totient is φ = 2177280.

The previous prime is 10198427. The next prime is 10198457. The reversal of 10198440 is 4489101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143605 + ... + 143675.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^10198440 is an apocalyptic number.

10198440 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 10198440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

10198440 is an abundant number, since it is smaller than the sum of its proper divisors (31273560).

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

10198440 is a wasteful number, since it uses less digits than its factorization.

10198440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10198440 is about 3193.4996477219. The cubic root of 10198440 is about 216.8592318290.

The spelling of 10198440 in words is "ten million, one hundred ninety-eight thousand, four hundred forty".