198887040 has 384 divisors, whose sum is σ = 777142080. Its totient is φ = 46448640.

The previous prime is 198886991. The next prime is 198887081. The reversal of 198887040 is 40788891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2724444 + ... + 2724516.

Almost surely, 2^198887040 is an apocalyptic number.

198887040 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 198887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388571040).

198887040 is an abundant number, since it is smaller than the sum of its proper divisors (578255040).

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

198887040 is a wasteful number, since it uses less digits than its factorization.

198887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 198887040 is about 14102.7316502868. The cubic root of 198887040 is about 583.7167576257.

The spelling of 198887040 in words is "one hundred ninety-eight million, eight hundred eighty-seven thousand, forty".