1905696 has 72 divisors (see below), whose sum is σ = 5847660. Its totient is φ = 585216.

The previous prime is 1905691. The next prime is 1905697. The reversal of 1905696 is 6965091.

1905696 is a `hidden beast` number, since 1 + 90 + 569 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 1296 = 1380^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1905696.

It is not an unprimeable number, because it can be changed into a prime (1905691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3490 + ... + 3998.

2^1905696 is an apocalyptic number.

1905696 is a gapful number since it is divisible by the number (16) 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 1905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923830).

1905696 is an abundant number, since it is smaller than the sum of its proper divisors (3941964).

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

1905696 is a wasteful number, since it uses less digits than its factorization.

1905696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1905696 is about 1380.4694853563. The cubic root of 1905696 is about 123.9798788024.

It can be divided in two parts, 1905 and 696, that added together give a square (2601 = 51²).

The spelling of 1905696 in words is "one million, nine hundred five thousand, six hundred ninety-six".