198891840 has 224 divisors, whose sum is σ = 764584704. Its totient is φ = 42762240.

The previous prime is 198891811. The next prime is 198891859. The reversal of 198891840 is 48198891.

198891840 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 (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 198891840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113370 + ... + 115110.

Almost surely, 2^198891840 is an apocalyptic number.

198891840 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 198891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382292352).

198891840 is an abundant number, since it is smaller than the sum of its proper divisors (565692864).

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

198891840 is a wasteful number, since it uses less digits than its factorization.

198891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 198891840 is about 14102.9018290563. The cubic root of 198891840 is about 583.7214534535.

The spelling of 198891840 in words is "one hundred ninety-eight million, eight hundred ninety-one thousand, eight hundred forty".