673661160 has 96 divisors (see below), whose sum is σ = 2242847880. Its totient is φ = 175257600.

The previous prime is 673661147. The next prime is 673661161. The reversal of 673661160 is 61166376.

673661160 is a `hidden beast` number, since 6 + 7 + 36 + 611 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 352463076 + 321198084 = 18774^2 + 17922^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (673661161) 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 23 ways as a sum of consecutive naturals, for example, 8061 + ... + 37580.

Almost surely, 2^673661160 is an apocalyptic number.

673661160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121423940).

673661160 is an abundant number, since it is smaller than the sum of its proper divisors (1569186720).

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

673661160 is a wasteful number, since it uses less digits than its factorization.

673661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45699 (or 45692 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 673661160 is about 25954.9833365387. The cubic root of 673661160 is about 876.6249684193.

It can be divided in two parts, 6736 and 61160, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 673661160 in words is "six hundred seventy-three million, six hundred sixty-one thousand, one hundred sixty".