197528320 has 72 divisors (see below), whose sum is σ = 516191760. Its totient is φ = 71823360.

The previous prime is 197528299. The next prime is 197528327. The reversal of 197528320 is 23825791.

197528320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 197528320.

It is not an unprimeable number, because it can be changed into a prime (197528327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7066 + ... + 21094.

It is an arithmetic number, because the mean of its divisors is an integer number (7169330).

Almost surely, 2^197528320 is an apocalyptic number.

197528320 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 197528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258095880).

197528320 is an abundant number, since it is smaller than the sum of its proper divisors (318663440).

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

197528320 is a wasteful number, since it uses less digits than its factorization.

197528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 197528320 is about 14054.4768668208. The cubic root of 197528320 is about 582.3844760987.

The spelling of 197528320 in words is "one hundred ninety-seven million, five hundred twenty-eight thousand, three hundred twenty".