677166966 has 120 divisors (see below), whose sum is σ = 1842326640. Its totient is φ = 185014368.

The previous prime is 677166961. The next prime is 677166977. The reversal of 677166966 is 669661776.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677166961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180720 + ... + 184428.

It is an arithmetic number, because the mean of its divisors is an integer number (15352722).

Almost surely, 2^677166966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677166966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921163320).

677166966 is an abundant number, since it is smaller than the sum of its proper divisors (1165159674).

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

677166966 is a wasteful number, since it uses less digits than its factorization.

677166966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3744 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 677166966 is about 26022.4319770463. The cubic root of 677166966 is about 878.1430220015.

It can be divided in two parts, 6771 and 66966, that added together give a palindrome (73737).

The spelling of 677166966 in words is "six hundred seventy-seven million, one hundred sixty-six thousand, nine hundred sixty-six".