198624672 has 72 divisors (see below), whose sum is σ = 566485920. Its totient is φ = 66015360.

The previous prime is 198624661. The next prime is 198624691. The reversal of 198624672 is 276426891.

It is a happy number.

198624672 is a `hidden beast` number, since 19 + 8 + 624 + 6 + 7 + 2 = 666.

198624672 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125647 + ... + 127217.

It is an arithmetic number, because the mean of its divisors is an integer number (7867860).

Almost surely, 2^198624672 is an apocalyptic number.

198624672 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 198624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283242960).

198624672 is an abundant number, since it is smaller than the sum of its proper divisors (367861248).

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

198624672 is a wasteful number, since it uses less digits than its factorization.

198624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2015 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 198624672 is about 14093.4265528295. The cubic root of 198624672 is about 583.4599686611.

The spelling of 198624672 in words is "one hundred ninety-eight million, six hundred twenty-four thousand, six hundred seventy-two".