826160 has 40 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 315392.

The previous prime is 826153. The next prime is 826169. The reversal of 826160 is 61628.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (826169) by changing a digit.

826160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁸²⁶¹⁶⁰ is an apocalyptic number.

826160 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 826160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

826160 is an abundant number, since it is smaller than the sum of its proper divisors (1182640).

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

826160 is a wasteful number, since it uses less digits than its factorization.

826160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 826160 is about 908.9334409075. The cubic root of 826160 is about 93.8328097952.

Adding to 826160 its reverse (61628), we get a palindrome (887788).

The spelling of 826160 in words is "eight hundred twenty-six thousand, one hundred sixty".