199712640 has 256 divisors, whose sum is σ = 678585600. Its totient is φ = 49889280.

The previous prime is 199712587. The next prime is 199712641. The reversal of 199712640 is 46217991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199712641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3384931 + ... + 3384989.

It is an arithmetic number, because the mean of its divisors is an integer number (2650725).

Almost surely, 2^199712640 is an apocalyptic number.

199712640 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 199712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292800).

199712640 is an abundant number, since it is smaller than the sum of its proper divisors (478872960).

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

199712640 is a wasteful number, since it uses less digits than its factorization.

199712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 199712640 is about 14131.9722615069. The cubic root of 199712640 is about 584.5233314824.

The spelling of 199712640 in words is "one hundred ninety-nine million, seven hundred twelve thousand, six hundred forty".