199042560 has 240 divisors, whose sum is σ = 706655664. Its totient is φ = 51757056.

The previous prime is 199042553. The next prime is 199042567. The reversal of 199042560 is 65240991.

199042560 is a `hidden beast` number, since 1 + 9 + 90 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (199042553) and next prime (199042567).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199042567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221039 + ... + 1221201.

Almost surely, 2^199042560 is an apocalyptic number.

199042560 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 199042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353327832).

199042560 is an abundant number, since it is smaller than the sum of its proper divisors (507613104).

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

199042560 is a wasteful number, since it uses less digits than its factorization.

199042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 199042560 is about 14108.2443982233. The cubic root of 199042560 is about 583.8688640318.

The spelling of 199042560 in words is "one hundred ninety-nine million, forty-two thousand, five hundred sixty".