677161000 has 128 divisors (see below), whose sum is σ = 1707881760. Its totient is φ = 250368000.

The previous prime is 677160973. The next prime is 677161003. The reversal of 677161000 is 161776.

It can be written as a sum of positive squares in 16 ways, for example, as 160326244 + 516834756 = 12662^2 + 22734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 677161000.

It is not an unprimeable number, because it can be changed into a prime (677161003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036674 + ... + 1037326.

Almost surely, 2^677161000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853940880).

677161000 is an abundant number, since it is smaller than the sum of its proper divisors (1030720760).

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

677161000 is a wasteful number, since it uses less digits than its factorization.

677161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 677161000 is about 26022.3173449253. The cubic root of 677161000 is about 878.1404431119.

The spelling of 677161000 in words is "six hundred seventy-seven million, one hundred sixty-one thousand".