198757680 has 160 divisors (see below), whose sum is σ = 681384960. Its totient is φ = 47523840.

The previous prime is 198757679. The next prime is 198757681. The reversal of 198757680 is 86757891.

198757680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198757679) and next prime (198757681).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (198757681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208084 + ... + 209036.

It is an arithmetic number, because the mean of its divisors is an integer number (4258656).

Almost surely, 2^198757680 is an apocalyptic number.

198757680 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 198757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340692480).

198757680 is an abundant number, since it is smaller than the sum of its proper divisors (482627280).

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

198757680 is a wasteful number, since it uses less digits than its factorization.

198757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The square root of 198757680 is about 14098.1445587708. The cubic root of 198757680 is about 583.5901765998.

The spelling of 198757680 in words is "one hundred ninety-eight million, seven hundred fifty-seven thousand, six hundred eighty".