198270240 has 96 divisors (see below), whose sum is σ = 713784960. Its totient is φ = 45318144.

The previous prime is 198270239. The next prime is 198270271. The reversal of 198270240 is 42072891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×198270240² = 78622176139315200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26145 + ... + 32864.

It is an arithmetic number, because the mean of its divisors is an integer number (7435260).

Almost surely, 2^198270240 is an apocalyptic number.

198270240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198270240 is an abundant number, since it is smaller than the sum of its proper divisors (515514720).

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

198270240 is a wasteful number, since it uses less digits than its factorization.

198270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59034 (or 59026 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 198270240 is about 14080.8465654591. The cubic root of 198270240 is about 583.1127140316.

The spelling of 198270240 in words is "one hundred ninety-eight million, two hundred seventy thousand, two hundred forty".