10198368 has 72 divisors (see below), whose sum is σ = 30722328. Its totient is φ = 3197952.

The previous prime is 10198337. The next prime is 10198373. The reversal of 10198368 is 86389101.

10198368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3855 + ... + 5937.

It is an arithmetic number, because the mean of its divisors is an integer number (426699).

Almost surely, 2^10198368 is an apocalyptic number.

10198368 is a gapful number since it is divisible by the number (18) 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 10198368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361164).

10198368 is an abundant number, since it is smaller than the sum of its proper divisors (20523960).

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

10198368 is a wasteful number, since it uses less digits than its factorization.

10198368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10198368 is about 3193.4883748027. The cubic root of 10198368 is about 216.8587214927.

The spelling of 10198368 in words is "ten million, one hundred ninety-eight thousand, three hundred sixty-eight".