677226 has 32 divisors (see below), whose sum is σ = 1529856. Its totient is φ = 198000.

The previous prime is 677213. The next prime is 677227. The reversal of 677226 is 622776.

677226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 677193 and 677202.

It is not an unprimeable number, because it can be changed into a prime (677227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881 + ... + 2211.

It is an arithmetic number, because the mean of its divisors is an integer number (47808).

2⁶⁷⁷²²⁶ is an apocalyptic number.

677226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 677226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764928).

677226 is an abundant number, since it is smaller than the sum of its proper divisors (852630).

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

677226 is a wasteful number, since it uses less digits than its factorization.

677226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its digits is 7056, while the sum is 30.

The square root of 677226 is about 822.9374216792. The cubic root of 677226 is about 87.8168539484.

It can be divided in two parts, 677 and 226, that added together give a triangular number (903 = T₄₂).

The spelling of 677226 in words is "six hundred seventy-seven thousand, two hundred twenty-six".