198285672 has 192 divisors, whose sum is σ = 590284800. Its totient is φ = 55261440.

The previous prime is 198285649. The next prime is 198285677. The reversal of 198285672 is 276582891.

198285672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (483840) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (198285677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388943 + ... + 2389025.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^198285672 is an apocalyptic number.

198285672 is a gapful number since it is divisible by the number (12) 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 198285672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295142400).

198285672 is an abundant number, since it is smaller than the sum of its proper divisors (391999128).

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

198285672 is a wasteful number, since it uses less digits than its factorization.

198285672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 198285672 is about 14081.3945332130. The cubic root of 198285672 is about 583.1278421415.

The spelling of 198285672 in words is "one hundred ninety-eight million, two hundred eighty-five thousand, six hundred seventy-two".