826560 has 168 divisors, whose sum is σ = 3328416. Its totient is φ = 184320.

The previous prime is 826559. The next prime is 826561. The reversal of 826560 is 65628.

826560 = T₉₉ + T₁₀₀ + ... + T₁₈₀.

826560 is a `hidden beast` number, since 8 + 2 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (826559) and next prime (826561).

It is a tau number, because it is divible by the number of its divisors (168).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (826561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20140 + ... + 20180.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2⁸²⁶⁵⁶⁰ is an apocalyptic number.

826560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208).

826560 is an abundant number, since it is smaller than the sum of its proper divisors (2501856).

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

826560 is a wasteful number, since it uses less digits than its factorization.

826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 826560 is about 909.1534523940. The cubic root of 826560 is about 93.8479509575.

The spelling of 826560 in words is "eight hundred twenty-six thousand, five hundred sixty".