199726560 has 288 divisors, whose sum is σ = 772716672. Its totient is φ = 48314880.

The previous prime is 199726559. The next prime is 199726601. The reversal of 199726560 is 65627991.

It is a happy number.

199726560 is a `hidden beast` number, since 19 + 9 + 72 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427447 + ... + 427913.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^199726560 is an apocalyptic number.

199726560 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 199726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386358336).

199726560 is an abundant number, since it is smaller than the sum of its proper divisors (572990112).

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

199726560 is a wasteful number, since it uses less digits than its factorization.

199726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 199726560 is about 14132.4647531844. The cubic root of 199726560 is about 584.5369116206.

The spelling of 199726560 in words is "one hundred ninety-nine million, seven hundred twenty-six thousand, five hundred sixty".