801648 has 60 divisors (see below), whose sum is σ = 2369640. Its totient is φ = 252288.

The previous prime is 801641. The next prime is 801677. The reversal of 801648 is 846108.

801648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801648.

It is not an unprimeable number, because it can be changed into a prime (801641) by changing a digit.

801648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2590 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2⁸⁰¹⁶⁴⁸ 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 801648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184820).

801648 is an abundant number, since it is smaller than the sum of its proper divisors (1567992).

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

801648 is a wasteful number, since it uses less digits than its factorization.

With its successor (801649) it forms an eRAP, since the sums of their prime factors are consecutive (326 and 327).

801648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 801648 is about 895.3479770458. The cubic root of 801648 is about 92.8954774377.

It can be divided in two parts, 80 and 1648, that added together give a cube (1728 = 12³).

The spelling of 801648 in words is "eight hundred one thousand, six hundred forty-eight".