677106 has 16 divisors (see below), whose sum is σ = 1504800. Its totient is φ = 225684.

The previous prime is 677081. The next prime is 677107. The reversal of 677106 is 601776.

677106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×677106³ = 931303513330521048, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 677106.

It is not an unprimeable number, because it can be changed into a prime (677107) by changing a digit.

677106 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, 6216 + ... + 6323.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

2⁶⁷⁷¹⁰⁶ is an apocalyptic number.

677106 is an abundant number, since it is smaller than the sum of its proper divisors (827694).

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

677106 is a wasteful number, since it uses less digits than its factorization.

677106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12550 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 677106 is about 822.8645088956. The cubic root of 677106 is about 87.8116667854.

The spelling of 677106 in words is "six hundred seventy-seven thousand, one hundred six".