199059840 has 192 divisors, whose sum is σ = 785734560. Its totient is φ = 45490176.

The previous prime is 199059769. The next prime is 199059863. The reversal of 199059840 is 48950991.

199059840 is a `hidden beast` number, since 19 + 9 + 0 + 598 + 40 = 666.

199059840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 37852 + ... + 42788.

Almost surely, 2^199059840 is an apocalyptic number.

199059840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199059840 is the 11520-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392867280).

199059840 is an abundant number, since it is smaller than the sum of its proper divisors (586674720).

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

199059840 is a wasteful number, since it uses less digits than its factorization.

199059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 199059840 is about 14108.8567928093. The cubic root of 199059840 is about 583.8857598522.

The spelling of 199059840 in words is "one hundred ninety-nine million, fifty-nine thousand, eight hundred forty".