198994320 has 400 divisors, whose sum is σ = 816697728. Its totient is φ = 43960320.

The previous prime is 198994319. The next prime is 198994343. The reversal of 198994320 is 23499891.

198994320 = 323² + 324² + ... + 857².

198994320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859707 + ... + 1859813.

Almost surely, 2^198994320 is an apocalyptic number.

198994320 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 198994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

198994320 is an abundant number, since it is smaller than the sum of its proper divisors (617703408).

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

198994320 is a wasteful number, since it uses less digits than its factorization.

198994320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 198994320 is about 14106.5346559671. The cubic root of 198994320 is about 583.8216913573.

The spelling of 198994320 in words is "one hundred ninety-eight million, nine hundred ninety-four thousand, three hundred twenty".