677640 has 32 divisors (see below), whose sum is σ = 2033280. Its totient is φ = 180672.

The previous prime is 677639. The next prime is 677647. The reversal of 677640 is 46776.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 677598 and 677607.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677640.

It is not an unprimeable number, because it can be changed into a prime (677647) 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, 2704 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (63540).

2⁶⁷⁷⁶⁴⁰ is an apocalyptic number.

677640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677640 is an abundant number, since it is smaller than the sum of its proper divisors (1355640).

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

677640 is a wasteful number, since it uses less digits than its factorization.

677640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 677640 is about 823.1889212082. The cubic root of 677640 is about 87.8347449585.

The spelling of 677640 in words is "six hundred seventy-seven thousand, six hundred forty".