197886240 has 120 divisors (see below), whose sum is σ = 698419260. Its totient is φ = 52766208.

The previous prime is 197886233. The next prime is 197886281. The reversal of 197886240 is 42688791.

197886240 is a `hidden beast` number, since 19 + 7 + 8 + 8 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196112016 + 1774224 = 14004^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5326 + ... + 20594.

Almost surely, 2^197886240 is an apocalyptic number.

197886240 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 197886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349209630).

197886240 is an abundant number, since it is smaller than the sum of its proper divisors (500533020).

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

197886240 is a wasteful number, since it uses less digits than its factorization.

197886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 197886240 is about 14067.2044131021. The cubic root of 197886240 is about 582.7360227811.

The spelling of 197886240 in words is "one hundred ninety-seven million, eight hundred eighty-six thousand, two hundred forty".