199539648 has 252 divisors, whose sum is σ = 720232240. Its totient is φ = 51701760.

The previous prime is 199539629. The next prime is 199539673. The reversal of 199539648 is 846935991.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×199539648² = 79632142247927808, which contains 22 as substring.

Its product of digits (2099520) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 199539594 and 199539603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487668 + ... + 488076.

Almost surely, 2^199539648 is an apocalyptic number.

199539648 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 199539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360116120).

199539648 is an abundant number, since it is smaller than the sum of its proper divisors (520692592).

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

199539648 is a wasteful number, since it uses less digits than its factorization.

199539648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 199539648 is about 14125.8503460854. The cubic root of 199539648 is about 584.3545104696.

The spelling of 199539648 in words is "one hundred ninety-nine million, five hundred thirty-nine thousand, six hundred forty-eight".