197352864 has 144 divisors (see below), whose sum is σ = 600235272. Its totient is φ = 61292544.

The previous prime is 197352863. The next prime is 197352919. The reversal of 197352864 is 468253791.

197352864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 192099600 + 5253264 = 13860^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (197352863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846892 + ... + 847124.

Almost surely, 2^197352864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300117636).

197352864 is an abundant number, since it is smaller than the sum of its proper divisors (402882408).

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

197352864 is a wasteful number, since it uses less digits than its factorization.

197352864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 197352864 is about 14048.2334832533. The cubic root of 197352864 is about 582.2119892363.

The spelling of 197352864 in words is "one hundred ninety-seven million, three hundred fifty-two thousand, eight hundred sixty-four".