677560 has 32 divisors (see below), whose sum is σ = 1643040. Its totient is φ = 249984.

The previous prime is 677543. The next prime is 677561. The reversal of 677560 is 65776.

677560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677561) by changing a digit.

677560 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, 132 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (51345).

2⁶⁷⁷⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

677560 is an abundant number, since it is smaller than the sum of its proper divisors (965480).

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

677560 is a wasteful number, since it uses less digits than its factorization.

677560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 677560 is about 823.1403282552. The cubic root of 677560 is about 87.8312883266.

The spelling of 677560 in words is "six hundred seventy-seven thousand, five hundred sixty".