826672 has 60 divisors (see below), whose sum is σ = 2045008. Its totient is φ = 316800.

The previous prime is 826669. The next prime is 826673. The reversal of 826672 is 276628.

It is a happy number.

826672 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (826673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13522 + ... + 13582.

2⁸²⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022504).

826672 is an abundant number, since it is smaller than the sum of its proper divisors (1218336).

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

826672 is a wasteful number, since it uses less digits than its factorization.

826672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 826672 is about 909.2150460700. The cubic root of 826672 is about 93.8521896076.

It can be divided in two parts, 8266 and 72, that added together give a palindrome (8338).

The spelling of 826672 in words is "eight hundred twenty-six thousand, six hundred seventy-two".