198233640 has 192 divisors, whose sum is σ = 710648640. Its totient is φ = 47523840.

The previous prime is 198233603. The next prime is 198233641. The reversal of 198233640 is 46332891.

198233640 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 3 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198233595 and 198233604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198233641) 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, 447259 + ... + 447701.

It is an arithmetic number, because the mean of its divisors is an integer number (3701295).

Almost surely, 2^198233640 is an apocalyptic number.

198233640 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 198233640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355324320).

198233640 is an abundant number, since it is smaller than the sum of its proper divisors (512415000).

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

198233640 is a wasteful number, since it uses less digits than its factorization.

198233640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 198233640 is about 14079.5468677085. The cubic root of 198233640 is about 583.0768316274.

The spelling of 198233640 in words is "one hundred ninety-eight million, two hundred thirty-three thousand, six hundred forty".