844960 has 24 divisors (see below), whose sum is σ = 1996596. Its totient is φ = 337920.

The previous prime is 844957. The next prime is 844999. The reversal of 844960 is 69448.

It can be written as a sum of positive squares in 2 ways, for example, as 781456 + 63504 = 884^2 + 252^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2481 + ... + 2800.

2⁸⁴⁴⁹⁶⁰ is an apocalyptic number.

844960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

844960 is an abundant number, since it is smaller than the sum of its proper divisors (1151636).

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

844960 is a wasteful number, since it uses less digits than its factorization.

844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 844960 is about 919.2170581533. The cubic root of 844960 is about 94.5392276695.

The spelling of 844960 in words is "eight hundred forty-four thousand, nine hundred sixty".