673968960 has 336 divisors, whose sum is σ = 2683654272. Its totient is φ = 152064000.

The previous prime is 673968941. The next prime is 673968973. The reversal of 673968960 is 69869376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 673968897 and 673968906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2035995 + ... + 2036325.

Almost surely, 2^673968960 is an apocalyptic number.

673968960 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 673968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341827136).

673968960 is an abundant number, since it is smaller than the sum of its proper divisors (2009685312).

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

673968960 is a wasteful number, since it uses less digits than its factorization.

673968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 673968960 is about 25960.9121565480. The cubic root of 673968960 is about 876.7584599017.

The spelling of 673968960 in words is "six hundred seventy-three million, nine hundred sixty-eight thousand, nine hundred sixty".