198622800 has 240 divisors, whose sum is σ = 722364480. Its totient is φ = 51816960.

The previous prime is 198622777. The next prime is 198622807. The reversal of 198622800 is 8226891.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198622807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572227 + ... + 572573.

It is an arithmetic number, because the mean of its divisors is an integer number (3009852).

Almost surely, 2^198622800 is an apocalyptic number.

198622800 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 198622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361182240).

198622800 is an abundant number, since it is smaller than the sum of its proper divisors (523741680).

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

198622800 is a wasteful number, since it uses less digits than its factorization.

198622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198622800 is about 14093.3601387320. The cubic root of 198622800 is about 583.4581356553.

The spelling of 198622800 in words is "one hundred ninety-eight million, six hundred twenty-two thousand, eight hundred".