198880920 has 384 divisors, whose sum is σ = 796723200. Its totient is φ = 43670016.

The previous prime is 198880919. The next prime is 198880921. The reversal of 198880920 is 29088891.

It is an interprime number because it is at equal distance from previous prime (198880919) and next prime (198880921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198880921) 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, 2517441 + ... + 2517519.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^198880920 is an apocalyptic number.

198880920 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 198880920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

198880920 is an abundant number, since it is smaller than the sum of its proper divisors (597842280).

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

198880920 is a wasteful number, since it uses less digits than its factorization.

198880920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 198880920 is about 14102.5146693772. The cubic root of 198880920 is about 583.7107703356.

The spelling of 198880920 in words is "one hundred ninety-eight million, eight hundred eighty thousand, nine hundred twenty".