197768720 has 80 divisors (see below), whose sum is σ = 505146240. Its totient is φ = 71672832.

The previous prime is 197768699. The next prime is 197768723. The reversal of 197768720 is 27867791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×197768720² = 78224933220876800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197768723) 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 15 ways as a sum of consecutive naturals, for example, 32132 + ... + 37788.

It is an arithmetic number, because the mean of its divisors is an integer number (6314328).

Almost surely, 2^197768720 is an apocalyptic number.

197768720 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 197768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252573120).

197768720 is an abundant number, since it is smaller than the sum of its proper divisors (307377520).

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

197768720 is a wasteful number, since it uses less digits than its factorization.

197768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 47.

The square root of 197768720 is about 14063.0267012475. The cubic root of 197768720 is about 582.6206421821.

The spelling of 197768720 in words is "one hundred ninety-seven million, seven hundred sixty-eight thousand, seven hundred twenty".