677112 has 32 divisors (see below), whose sum is σ = 1717200. Its totient is φ = 222464.

The previous prime is 677111. The next prime is 677113. The reversal of 677112 is 211776.

677112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (677111) and next prime (677113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1978 + ... + 2294.

2⁶⁷⁷¹¹² is an apocalyptic number.

It is an amenable number.

677112 is an abundant number, since it is smaller than the sum of its proper divisors (1040088).

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

677112 is a wasteful number, since it uses less digits than its factorization.

677112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 677112 is about 822.8681546882. The cubic root of 677112 is about 87.8119261581.

Adding to 677112 its reverse (211776), we get a palindrome (888888).

The spelling of 677112 in words is "six hundred seventy-seven thousand, one hundred twelve".