1065600 has 144 divisors (see below), whose sum is σ = 3905070. Its totient is φ = 276480.

The previous prime is 1065593. The next prime is 1065601. The reversal of 1065600 is 65601.

1065600 is a `hidden beast` number, since 1 + 0 + 65 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 968256 + 97344 = 984^2 + 312^2 .

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

It is a super-2 number, since 2×1065600² = 2271006720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1065601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28782 + ... + 28818.

2^1065600 is an apocalyptic number.

1065600 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 1065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952535).

1065600 is an abundant number, since it is smaller than the sum of its proper divisors (2839470).

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

1065600 is a wasteful number, since it uses less digits than its factorization.

1065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1065600 is about 1032.2790320451. The cubic root of 1065600 is about 102.1405214298.

Subtracting from 1065600 its reverse (65601), we obtain a palindrome (999999).

The spelling of 1065600 in words is "one million, sixty-five thousand, six hundred".