198877680 has 200 divisors, whose sum is σ = 706508352. Its totient is φ = 51826176.

The previous prime is 198877669. The next prime is 198877687. The reversal of 198877680 is 86778891.

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 (198877687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304234 + ... + 304886.

Almost surely, 2^198877680 is an apocalyptic number.

198877680 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 198877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353254176).

198877680 is an abundant number, since it is smaller than the sum of its proper divisors (507630672).

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

198877680 is a wasteful number, since it uses less digits than its factorization.

198877680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 198877680 is about 14102.3997957794. The cubic root of 198877680 is about 583.7076005441.

The spelling of 198877680 in words is "one hundred ninety-eight million, eight hundred seventy-seven thousand, six hundred eighty".