198936864 has 288 divisors, whose sum is σ = 698664960. Its totient is φ = 54867456.

The previous prime is 198936851. The next prime is 198936887. The reversal of 198936864 is 468639891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 198936864.

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 47 ways as a sum of consecutive naturals, for example, 1566369 + ... + 1566495.

It is an arithmetic number, because the mean of its divisors is an integer number (2425920).

Almost surely, 2^198936864 is an apocalyptic number.

198936864 is a gapful number since it is divisible by the number (14) 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 198936864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349332480).

198936864 is an abundant number, since it is smaller than the sum of its proper divisors (499728096).

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

198936864 is a wasteful number, since it uses less digits than its factorization.

198936864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 198936864 is about 14104.4980059554. The cubic root of 198936864 is about 583.7654966410.

The spelling of 198936864 in words is "one hundred ninety-eight million, nine hundred thirty-six thousand, eight hundred sixty-four".