851648 has 28 divisors (see below), whose sum is σ = 1932432. Its totient is φ = 364800.

The previous prime is 851647. The next prime is 851659. The reversal of 851648 is 846158.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (7680) is a multiple of the sum of its prime factors (1920).

It is not an unprimeable number, because it can be changed into a prime (851647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503 + ... + 1398.

2⁸⁵¹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

851648 is an abundant number, since it is smaller than the sum of its proper divisors (1080784).

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

851648 is a wasteful number, since it uses less digits than its factorization.

851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1910 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 851648 is about 922.8477664274. The cubic root of 851648 is about 94.7880037281.

The spelling of 851648 in words is "eight hundred fifty-one thousand, six hundred forty-eight".