197627040 has 576 divisors, whose sum is σ = 832156416. Its totient is φ = 43794432.

The previous prime is 197627029. The next prime is 197627041. The reversal of 197627040 is 40726791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197626986 and 197627004.

It is not an unprimeable number, because it can be changed into a prime (197627041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8592469 + ... + 8592491.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^197627040 is an apocalyptic number.

197627040 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 197627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

197627040 is an abundant number, since it is smaller than the sum of its proper divisors (634529376).

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

197627040 is a wasteful number, since it uses less digits than its factorization.

197627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 197627040 is about 14057.9884763077. The cubic root of 197627040 is about 582.4814806198.

The spelling of 197627040 in words is "one hundred ninety-seven million, six hundred twenty-seven thousand, forty".