677601 has 6 divisors (see below), whose sum is σ = 978770. Its totient is φ = 451728.

The previous prime is 677587. The next prime is 677627. The reversal of 677601 is 106776.

677601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 159201 = 720^2 + 399^2 .

It is not a de Polignac number, because 677601 - 2⁷ = 677473 is a prime.

It is a super-3 number, since 3×677601³ = 933347502009938403, which contains 333 as substring.

It is a Duffinian number.

677601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (677681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37636 + ... + 37653.

2⁶⁷⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

677601 is a deficient number, since it is larger than the sum of its proper divisors (301169).

677601 is a wasteful number, since it uses less digits than its factorization.

677601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75295 (or 75292 counting only the distinct ones).

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

The square root of 677601 is about 823.1652325020. The cubic root of 677601 is about 87.8330598845.

The spelling of 677601 in words is "six hundred seventy-seven thousand, six hundred one".