805644 has 72 divisors (see below), whose sum is σ = 2446080. Its totient is φ = 218592.

The previous prime is 805639. The next prime is 805687. The reversal of 805644 is 446508.

It is a super-3 number, since 3×805644³ = 1568739333463589952, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 805644.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5727 + ... + 5865.

2⁸⁰⁵⁶⁴⁴ is an apocalyptic number.

805644 is a gapful number since it is divisible by the number (84) 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 805644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040).

805644 is an abundant number, since it is smaller than the sum of its proper divisors (1640436).

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

805644 is a wasteful number, since it uses less digits than its factorization.

805644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 805644 is about 897.5767376665. The cubic root of 805644 is about 93.0495746789.

It can be divided in two parts, 8056 and 44, that added together give a square (8100 = 90²).

The spelling of 805644 in words is "eight hundred five thousand, six hundred forty-four".