198918720 has 896 divisors, whose sum is σ = 983162880. Its totient is φ = 36495360.

The previous prime is 198918701. The next prime is 198918763. The reversal of 198918720 is 27819891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648629 + ... + 8648651.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^198918720 is an apocalyptic number.

198918720 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 198918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

198918720 is an abundant number, since it is smaller than the sum of its proper divisors (784244160).

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

198918720 is a wasteful number, since it uses less digits than its factorization.

198918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 198918720 is about 14103.8547922190. The cubic root of 198918720 is about 583.7477486933.

The spelling of 198918720 in words is "one hundred ninety-eight million, nine hundred eighteen thousand, seven hundred twenty".