196864 has 18 divisors (see below), whose sum is σ = 393470. Its totient is φ = 98304.

The previous prime is 196853. The next prime is 196871. The reversal of 196864 is 468691.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 36864 = 400^2 + 192^2 .

It is an unprimeable number.

196864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129 + ... + 640.

2¹⁹⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

196864 is a deficient number, since it is larger than the sum of its proper divisors (196606).

196864 is an frugal number, since it uses more digits than its factorization.

196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 196864 is about 443.6935879636. The cubic root of 196864 is about 58.1730858107.

The spelling of 196864 in words is "one hundred ninety-six thousand, eight hundred sixty-four".