198766720 has 64 divisors (see below), whose sum is σ = 503155800. Its totient is φ = 74825728.

The previous prime is 198766717. The next prime is 198766723. The reversal of 198766720 is 27667891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198766717) and next prime (198766723).

It can be written as a sum of positive squares in 4 ways, for example, as 190881856 + 7884864 = 13816^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (198766723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746 + ... + 20014.

Almost surely, 2^198766720 is an apocalyptic number.

198766720 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 198766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251577900).

198766720 is an abundant number, since it is smaller than the sum of its proper divisors (304389080).

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

198766720 is a wasteful number, since it uses less digits than its factorization.

198766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 198766720 is about 14098.4651646908. The cubic root of 198766720 is about 583.5990241828.

The spelling of 198766720 in words is "one hundred ninety-eight million, seven hundred sixty-six thousand, seven hundred twenty".