677556 has 72 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 194880.

The previous prime is 677543. The next prime is 677561. The reversal of 677556 is 655776.

677556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 677556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11455 + ... + 11513.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁶⁷⁷⁵⁵⁶ is an apocalyptic number.

677556 is a gapful number since it is divisible by the number (66) 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 677556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

677556 is an abundant number, since it is smaller than the sum of its proper divisors (1288044).

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

677556 is a wasteful number, since it uses less digits than its factorization.

677556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 677556 is about 823.1378985322. The cubic root of 677556 is about 87.8311154879.

The spelling of 677556 in words is "six hundred seventy-seven thousand, five hundred fifty-six".