1795664 has 40 divisors (see below), whose sum is σ = 3827880. Its totient is φ = 811008.

The previous prime is 1795663. The next prime is 1795669. The reversal of 1795664 is 4665971.

1795664 = T₂₇ + T₂₈ + ... + T₂₂₀.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 1795600 = 8^2 + 1340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1795663) 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, 18464 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

2^1795664 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 1795664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913940).

1795664 is an abundant number, since it is smaller than the sum of its proper divisors (2032216).

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

1795664 is a wasteful number, since it uses less digits than its factorization.

1795664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 1795664 is about 1340.0238803842. The cubic root of 1795664 is about 121.5462857177.

It can be divided in two parts, 17956 and 64, that multiplied together give a square (1149184 = 1072²).

The spelling of 1795664 in words is "one million, seven hundred ninety-five thousand, six hundred sixty-four".