197310240 has 144 divisors (see below), whose sum is σ = 682908408. Its totient is φ = 51867648.

The previous prime is 197310181. The next prime is 197310251. The reversal of 197310240 is 42013791.

197310240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 172029456 + 25280784 = 13116^2 + 5028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 104182 + ... + 106058.

Almost surely, 2^197310240 is an apocalyptic number.

197310240 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 197310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341454204).

197310240 is an abundant number, since it is smaller than the sum of its proper divisors (485598168).

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

197310240 is a wasteful number, since it uses less digits than its factorization.

197310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 197310240 is about 14046.7163422631. The cubic root of 197310240 is about 582.1700711036.

The spelling of 197310240 in words is "one hundred ninety-seven million, three hundred ten thousand, two hundred forty".