197640000 has 350 divisors, whose sum is σ = 744100874. Its totient is φ = 51840000.

The previous prime is 197639983. The next prime is 197640019. The reversal of 197640000 is 46791.

197640000 is a `hidden beast` number, since 19 + 7 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 136048896 + 61591104 = 11664^2 + 7848^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239970 + ... + 3240030.

Almost surely, 2^197640000 is an apocalyptic number.

197640000 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 197640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372050437).

197640000 is an abundant number, since it is smaller than the sum of its proper divisors (546460874).

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

197640000 is an frugal number, since it uses more digits than its factorization.

197640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

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

The square root of 197640000 is about 14058.4494166320. The cubic root of 197640000 is about 582.4942130121.

Adding to 197640000 its reverse (46791), we get a palindrome (197686791).

The spelling of 197640000 in words is "one hundred ninety-seven million, six hundred forty thousand".