197191680 has 288 divisors, whose sum is σ = 739458720. Its totient is φ = 44728320.

The previous prime is 197191613. The next prime is 197191697. The reversal of 197191680 is 86191791.

It is a super-2 number, since 2×197191680² = 77769117322444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505215 + ... + 1505345.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^197191680 is an apocalyptic number.

197191680 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 197191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369729360).

197191680 is an abundant number, since it is smaller than the sum of its proper divisors (542267040).

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

197191680 is a wasteful number, since it uses less digits than its factorization.

197191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The square root of 197191680 is about 14042.4955047171. The cubic root of 197191680 is about 582.0534427371.

The spelling of 197191680 in words is "one hundred ninety-seven million, one hundred ninety-one thousand, six hundred eighty".