1205664 has 48 divisors (see below), whose sum is σ = 3336480. Its totient is φ = 380160.

The previous prime is 1205663. The next prime is 1205669. The reversal of 1205664 is 4665021.

1205664 = 362² + 363² + ... + 370².

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205663) 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, 1494 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (69510).

2^1205664 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 1205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668240).

1205664 is an abundant number, since it is smaller than the sum of its proper divisors (2130816).

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

1205664 is a wasteful number, since it uses less digits than its factorization.

1205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1205664 is about 1098.0273220644. The cubic root of 1205664 is about 106.4327861726.

The spelling of 1205664 in words is "one million, two hundred five thousand, six hundred sixty-four".