199748640 has 384 divisors, whose sum is σ = 823011840. Its totient is φ = 39518208.

The previous prime is 199748639. The next prime is 199748687. The reversal of 199748640 is 46847991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199748640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742426 + ... + 742694.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^199748640 is an apocalyptic number.

199748640 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 199748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

199748640 is an abundant number, since it is smaller than the sum of its proper divisors (623263200).

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

199748640 is a wasteful number, since it uses less digits than its factorization.

199748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 199748640 is about 14133.2459116793. The cubic root of 199748640 is about 584.5584512353.

The spelling of 199748640 in words is "one hundred ninety-nine million, seven hundred forty-eight thousand, six hundred forty".