1836198000 has 960 divisors, whose sum is σ = 8449459200. Its totient is φ = 360806400.

The previous prime is 1836197971. The next prime is 1836198029. The reversal of 1836198000 is 8916381.

It is an interprime number because it is at equal distance from previous prime (1836197971) and next prime (1836198029).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31121971 + ... + 31122029.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2^1836198000 is an apocalyptic number.

1836198000 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 1836198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224729600).

1836198000 is an abundant number, since it is smaller than the sum of its proper divisors (6613261200).

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

1836198000 is a wasteful number, since it uses less digits than its factorization.

1836198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1836198000 is about 42850.8809711072. The cubic root of 1836198000 is about 1224.5405468421.

The spelling of 1836198000 in words is "one billion, eight hundred thirty-six million, one hundred ninety-eight thousand".