199233648 has 80 divisors (see below), whose sum is σ = 573653760. Its totient is φ = 66204864.

The previous prime is 199233647. The next prime is 199233649. The reversal of 199233648 is 846332991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199233647) and next prime (199233649).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199233647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209911 + ... + 210857.

It is an arithmetic number, because the mean of its divisors is an integer number (7170672).

Almost surely, 2^199233648 is an apocalyptic number.

199233648 is a gapful number since it is divisible by the number (18) 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 199233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286826880).

199233648 is an abundant number, since it is smaller than the sum of its proper divisors (374420112).

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

199233648 is a wasteful number, since it uses less digits than its factorization.

199233648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1439 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 199233648 is about 14115.0149840516. The cubic root of 199233648 is about 584.0556492914.

The spelling of 199233648 in words is "one hundred ninety-nine million, two hundred thirty-three thousand, six hundred forty-eight".