198785664 has 384 divisors, whose sum is σ = 748500480. Its totient is φ = 51010560.

The previous prime is 198785663. The next prime is 198785693. The reversal of 198785664 is 466587891.

198785664 is a `hidden beast` number, since 1 + 9 + 8 + 78 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 198785664.

It is not an unprimeable number, because it can be changed into a prime (198785663) by changing a digit.

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, 2394967 + ... + 2395049.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^198785664 is an apocalyptic number.

198785664 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 198785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

198785664 is an abundant number, since it is smaller than the sum of its proper divisors (549714816).

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

198785664 is an equidigital number, since it uses as much as digits as its factorization.

198785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 198785664 is about 14099.1369948660. The cubic root of 198785664 is about 583.6175640885.

The spelling of 198785664 in words is "one hundred ninety-eight million, seven hundred eighty-five thousand, six hundred sixty-four".