677607 has 16 divisors (see below), whose sum is σ = 1059072. Its totient is φ = 377280.

The previous prime is 677587. The next prime is 677627. The reversal of 677607 is 706776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677587) and next prime (677627).

It is not a de Polignac number, because 677607 - 2⁶ = 677543 is a prime.

It is a super-3 number, since 3×677607³ = 933372295957702629, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677627) 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, 468 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (66192).

2⁶⁷⁷⁶⁰⁷ is an apocalyptic number.

677607 is a deficient number, since it is larger than the sum of its proper divisors (381465).

677607 is a wasteful number, since it uses less digits than its factorization.

677607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 677607 is about 823.1688769627. The cubic root of 677607 is about 87.8333191308.

The spelling of 677607 in words is "six hundred seventy-seven thousand, six hundred seven".