199967040 has 504 divisors, whose sum is σ = 869548680. Its totient is φ = 41803776.

The previous prime is 199967029. The next prime is 199967041. The reversal of 199967040 is 40769991.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 189778176 = 3192^2 + 13776^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199967041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834506 + ... + 1834614.

It is an arithmetic number, because the mean of its divisors is an integer number (1725295).

Almost surely, 2^199967040 is an apocalyptic number.

199967040 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 199967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434774340).

199967040 is an abundant number, since it is smaller than the sum of its proper divisors (669581640).

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

199967040 is a wasteful number, since it uses less digits than its factorization.

199967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 199967040 is about 14140.9702637407. The cubic root of 199967040 is about 584.7714206694.

The spelling of 199967040 in words is "one hundred ninety-nine million, nine hundred sixty-seven thousand, forty".