10198320 has 80 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 2471680.

The previous prime is 10198301. The next prime is 10198337. The reversal of 10198320 is 2389101.

10198320 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 4571.

Almost surely, 2^10198320 is an apocalyptic number.

10198320 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 10198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

10198320 is an abundant number, since it is smaller than the sum of its proper divisors (24299472).

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

10198320 is a wasteful number, since it uses less digits than its factorization.

10198320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10198320 is about 3193.4808595011. The cubic root of 10198320 is about 216.8583812672.

It can be divided in two parts, 1019 and 8320, that added together give a palindrome (9339).

The spelling of 10198320 in words is "ten million, one hundred ninety-eight thousand, three hundred twenty".