198078920 has 64 divisors (see below), whose sum is σ = 481889520. Its totient is φ = 72843264.

The previous prime is 198078901. The next prime is 198078949. The reversal of 198078920 is 29870891.

It can be written as a sum of positive squares in 8 ways, for example, as 1350244 + 196728676 = 1162^2 + 14026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162152 + ... + 163368.

Almost surely, 2^198078920 is an apocalyptic number.

198078920 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 198078920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240944760).

198078920 is an abundant number, since it is smaller than the sum of its proper divisors (283810600).

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

198078920 is a wasteful number, since it uses less digits than its factorization.

198078920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The square root of 198078920 is about 14074.0513001765. The cubic root of 198078920 is about 582.9250963183.

The spelling of 198078920 in words is "one hundred ninety-eight million, seventy-eight thousand, nine hundred twenty".