826960 has 20 divisors (see below), whose sum is σ = 1922868. Its totient is φ = 330752.

The previous prime is 826957. The next prime is 826963. The reversal of 826960 is 69628.

826960 = T₇₄₁ + T₇₄₂ + T₇₄₃.

It is an interprime number because it is at equal distance from previous prime (826957) and next prime (826963).

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 685584 = 376^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5089 + ... + 5248.

2⁸²⁶⁹⁶⁰ is an apocalyptic number.

826960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

826960 is the 743-rd centered triangular number.

It is an amenable number.

826960 is an abundant number, since it is smaller than the sum of its proper divisors (1095908).

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

826960 is a wasteful number, since it uses less digits than its factorization.

826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 826960 is about 909.3734106515. The cubic root of 826960 is about 93.8630872358.

The spelling of 826960 in words is "eight hundred twenty-six thousand, nine hundred sixty".