197664 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 62720.

The previous prime is 197651. The next prime is 197677. The reversal of 197664 is 466791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (197651) and next prime (197677).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2749 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

197664 is a Friedman number, since it can be written as 696*71*4, using all its digits and the basic arithmetic operations.

2¹⁹⁷⁶⁶⁴ 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 197664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

197664 is an abundant number, since it is smaller than the sum of its proper divisors (346656).

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

197664 is a wasteful number, since it uses less digits than its factorization.

197664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 197664 is about 444.5941969932. The cubic root of 197664 is about 58.2517790047.

It can be divided in two parts, 197 and 664, that added together give a triangular number (861 = T₄₁).

The spelling of 197664 in words is "one hundred ninety-seven thousand, six hundred sixty-four".