198590040 has 288 divisors, whose sum is σ = 731989440. Its totient is φ = 46632960.

The previous prime is 198590023. The next prime is 198590059. The reversal of 198590040 is 40095891.

198590040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 198589977 and 198590004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2047272 + ... + 2047368.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^198590040 is an apocalyptic number.

198590040 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 198590040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365994720).

198590040 is an abundant number, since it is smaller than the sum of its proper divisors (533399400).

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

198590040 is a wasteful number, since it uses less digits than its factorization.

198590040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 198590040 is about 14092.1978413589. The cubic root of 198590040 is about 583.4260561903.

The spelling of 198590040 in words is "one hundred ninety-eight million, five hundred ninety thousand, forty".