673126560 has 288 divisors, whose sum is σ = 2513452032. Its totient is φ = 163307520.

The previous prime is 673126523. The next prime is 673126567. The reversal of 673126560 is 65621376.

673126560 is a `hidden beast` number, since 6 + 73 + 1 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (673126567) 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 47 ways as a sum of consecutive naturals, for example, 758437 + ... + 759323.

It is an arithmetic number, because the mean of its divisors is an integer number (8727264).

Almost surely, 2^673126560 is an apocalyptic number.

673126560 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 673126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256726016).

673126560 is an abundant number, since it is smaller than the sum of its proper divisors (1840325472).

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

673126560 is a wasteful number, since it uses less digits than its factorization.

673126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 673126560 is about 25944.6826922204. The cubic root of 673126560 is about 876.3930181162.

The spelling of 673126560 in words is "six hundred seventy-three million, one hundred twenty-six thousand, five hundred sixty".