198921240 has 192 divisors, whose sum is σ = 744494400. Its totient is φ = 45121536.

The previous prime is 198921223. The next prime is 198921251. The reversal of 198921240 is 42129891.

198921240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 198921195 and 198921204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486156 + ... + 486564.

It is an arithmetic number, because the mean of its divisors is an integer number (3877575).

Almost surely, 2^198921240 is an apocalyptic number.

198921240 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 198921240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372247200).

198921240 is an abundant number, since it is smaller than the sum of its proper divisors (545573160).

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

198921240 is a wasteful number, since it uses less digits than its factorization.

198921240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198921240 is about 14103.9441292144. The cubic root of 198921240 is about 583.7502137506.

The spelling of 198921240 in words is "one hundred ninety-eight million, nine hundred twenty-one thousand, two hundred forty".