201798000 has 320 divisors, whose sum is σ = 749773440. Its totient is φ = 51840000.

The previous prime is 201797989. The next prime is 201798013. The reversal of 201798000 is 897102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1997950 + ... + 1998050.

It is an arithmetic number, because the mean of its divisors is an integer number (2343042).

Almost surely, 2^201798000 is an apocalyptic number.

201798000 is a gapful number since it is divisible by the number (20) 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 201798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374886720).

201798000 is an abundant number, since it is smaller than the sum of its proper divisors (547975440).

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

201798000 is a wasteful number, since it uses less digits than its factorization.

201798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 201798000 is about 14205.5622908775. The cubic root of 201798000 is about 586.5507834704.

The spelling of 201798000 in words is "two hundred one million, seven hundred ninety-eight thousand".