198977688 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 51217920.

The previous prime is 198977663. The next prime is 198977689. The reversal of 198977688 is 886779891.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198977689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041673 + ... + 1041863.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^198977688 is an apocalyptic number.

198977688 is a gapful number since it is divisible by the number (18) 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 198977688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

198977688 is an abundant number, since it is smaller than the sum of its proper divisors (497751912).

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

198977688 is a wasteful number, since it uses less digits than its factorization.

198977688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The square root of 198977688 is about 14105.9451296253. The cubic root of 198977688 is about 583.8054255782.

The spelling of 198977688 in words is "one hundred ninety-eight million, nine hundred seventy-seven thousand, six hundred eighty-eight".