677646 has 40 divisors (see below), whose sum is σ = 1568160. Its totient is φ = 218592.

The previous prime is 677639. The next prime is 677647. The reversal of 677646 is 646776.

677646 is a `hidden beast` number, since 6 + 7 + 7 + 646 = 666.

677646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 677646.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 7570 + ... + 7658.

It is an arithmetic number, because the mean of its divisors is an integer number (39204).

2⁶⁷⁷⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784080).

677646 is an abundant number, since it is smaller than the sum of its proper divisors (890514).

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

677646 is a wasteful number, since it uses less digits than its factorization.

677646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 677646 is about 823.1925655641. The cubic root of 677646 is about 87.8350041950.

The spelling of 677646 in words is "six hundred seventy-seven thousand, six hundred forty-six".