198793980 has 288 divisors, whose sum is σ = 785998080. Its totient is φ = 41247360.

The previous prime is 198793967. The next prime is 198793981. The reversal of 198793980 is 89397891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198793981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290719 + ... + 291401.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^198793980 is an apocalyptic number.

198793980 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 198793980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392999040).

198793980 is an abundant number, since it is smaller than the sum of its proper divisors (587204100).

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

198793980 is a wasteful number, since it uses less digits than its factorization.

198793980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 198793980 is about 14099.4319034492. The cubic root of 198793980 is about 583.6257023279.

The spelling of 198793980 in words is "one hundred ninety-eight million, seven hundred ninety-three thousand, nine hundred eighty".