198261000 has 256 divisors, whose sum is σ = 786240000. Its totient is φ = 45273600.

The previous prime is 198260999. The next prime is 198261017. The reversal of 198261000 is 162891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188476 + ... + 189524.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2^198261000 is an apocalyptic number.

198261000 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 198261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120000).

198261000 is an abundant number, since it is smaller than the sum of its proper divisors (587979000).

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

198261000 is a wasteful number, since it uses less digits than its factorization.

198261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 198261000 is about 14080.5184563637. The cubic root of 198261000 is about 583.1036556119.

The spelling of 198261000 in words is "one hundred ninety-eight million, two hundred sixty-one thousand".