198540 has 36 divisors (see below), whose sum is σ = 602784. Its totient is φ = 52896.

The previous prime is 198533. The next prime is 198553. The reversal of 198540 is 45891.

198540 = 50² + 51² + ... + 89².

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (16744).

2¹⁹⁸⁵⁴⁰ is an apocalyptic number.

198540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198540 is an abundant number, since it is smaller than the sum of its proper divisors (404244).

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

198540 is a wasteful number, since it uses less digits than its factorization.

198540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 198540 is about 445.5782759516. The cubic root of 198540 is about 58.3377048878.

It can be divided in two parts, 1985 and 40, that added together give a square (2025 = 45²).

The spelling of 198540 in words is "one hundred ninety-eight thousand, five hundred forty".