198977880 has 128 divisors (see below), whose sum is σ = 632966400. Its totient is φ = 49900032.

The previous prime is 198977839. The next prime is 198977893. The reversal of 198977880 is 88779891.

198977880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 198977880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448939 + ... + 449381.

It is an arithmetic number, because the mean of its divisors is an integer number (4945050).

Almost surely, 2^198977880 is an apocalyptic number.

198977880 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 198977880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316483200).

198977880 is an abundant number, since it is smaller than the sum of its proper divisors (433988520).

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

198977880 is a wasteful number, since it uses less digits than its factorization.

198977880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 57.

The square root of 198977880 is about 14105.9519352648. The cubic root of 198977880 is about 583.8056133558.

The spelling of 198977880 in words is "one hundred ninety-eight million, nine hundred seventy-seven thousand, eight hundred eighty".