199270368 has 240 divisors, whose sum is σ = 664115760. Its totient is φ = 58060800.

The previous prime is 199270349. The next prime is 199270381. The reversal of 199270368 is 863072991.

199270368 is a `hidden beast` number, since 19 + 9 + 270 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826728 + ... + 826968.

It is an arithmetic number, because the mean of its divisors is an integer number (2767149).

Almost surely, 2^199270368 is an apocalyptic number.

199270368 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 199270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332057880).

199270368 is an abundant number, since it is smaller than the sum of its proper divisors (464845392).

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

199270368 is a wasteful number, since it uses less digits than its factorization.

199270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 199270368 is about 14116.3156666320. The cubic root of 199270368 is about 584.0915287830.

The spelling of 199270368 in words is "one hundred ninety-nine million, two hundred seventy thousand, three hundred sixty-eight".