197250768 has 320 divisors, whose sum is σ = 693288960. Its totient is φ = 52876800.

The previous prime is 197250751. The next prime is 197250769. The reversal of 197250768 is 867052791.

197250768 is a `hidden beast` number, since 19 + 72 + 507 + 68 = 666.

197250768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197250769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1915005 + ... + 1915107.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^197250768 is an apocalyptic number.

197250768 is a gapful number since it is divisible by the number (18) 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 197250768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346644480).

197250768 is an abundant number, since it is smaller than the sum of its proper divisors (496038192).

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

197250768 is a wasteful number, since it uses less digits than its factorization.

197250768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 197250768 is about 14044.5992466855. The cubic root of 197250768 is about 582.1115738902. Note that the first 3 decimals are identical.

The spelling of 197250768 in words is "one hundred ninety-seven million, two hundred fifty thousand, seven hundred sixty-eight".