1905664 has 22 divisors (see below), whose sum is σ = 3811514. Its totient is φ = 952320.

The previous prime is 1905661. The next prime is 1905667. The reversal of 1905664 is 4665091.

It is an interprime number because it is at equal distance from previous prime (1905661) and next prime (1905667).

It can be written as a sum of positive squares in only one way, i.e., 984064 + 921600 = 992^2 + 960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94 + ... + 1954.

2^1905664 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 1905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905757).

1905664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1905664 is an equidigital number, since it uses as much as digits as its factorization.

1905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1905664 is about 1380.4578950479. The cubic root of 1905664 is about 123.9791848516.

The spelling of 1905664 in words is "one million, nine hundred five thousand, six hundred sixty-four".