191800896 has 336 divisors, whose sum is σ = 660196800. Its totient is φ = 48771072.

The previous prime is 191800849. The next prime is 191800907. The reversal of 191800896 is 698008191.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5183790 + ... + 5183826.

Almost surely, 2^191800896 is an apocalyptic number.

191800896 is a gapful number since it is divisible by the number (16) 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 191800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330098400).

191800896 is an abundant number, since it is smaller than the sum of its proper divisors (468395904).

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

191800896 is a wasteful number, since it uses less digits than its factorization.

191800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 191800896 is about 13849.2200502411. The cubic root of 191800896 is about 576.7003441115.

The spelling of 191800896 in words is "one hundred ninety-one million, eight hundred thousand, eight hundred ninety-six".