806148 has 54 divisors (see below), whose sum is σ = 2375646. Its totient is φ = 229824.

The previous prime is 806137. The next prime is 806153. The reversal of 806148 is 841608.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 28224 = 882^2 + 168^2 .

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 806148.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1536 + ... + 1992.

2⁸⁰⁶¹⁴⁸ 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 806148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187823).

806148 is an abundant number, since it is smaller than the sum of its proper divisors (1569498).

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

806148 is a wasteful number, since it uses less digits than its factorization.

806148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

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

The square root of 806148 is about 897.8574497101. The cubic root of 806148 is about 93.0689741530.

The spelling of 806148 in words is "eight hundred six thousand, one hundred forty-eight".