198414720 has 576 divisors, whose sum is σ = 861634800. Its totient is φ = 41803776.

The previous prime is 198414719. The next prime is 198414751. The reversal of 198414720 is 27414891.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×198414720² = 78736802225356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362542 + ... + 5362578.

Almost surely, 2^198414720 is an apocalyptic number.

198414720 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 198414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430817400).

198414720 is an abundant number, since it is smaller than the sum of its proper divisors (663220080).

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

198414720 is a wasteful number, since it uses less digits than its factorization.

198414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 198414720 is about 14085.9760045231. The cubic root of 198414720 is about 583.2543181864.

The spelling of 198414720 in words is "one hundred ninety-eight million, four hundred fourteen thousand, seven hundred twenty".