673056000 has 576 divisors, whose sum is σ = 2678457600. Its totient is φ = 165888000.

The previous prime is 673055987. The next prime is 673056031. The reversal of 673056000 is 650376.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16415980 + ... + 16416020.

It is an arithmetic number, because the mean of its divisors is an integer number (4650100).

Almost surely, 2^673056000 is an apocalyptic number.

673056000 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 673056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339228800).

673056000 is an abundant number, since it is smaller than the sum of its proper divisors (2005401600).

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

673056000 is a wasteful number, since it uses less digits than its factorization.

673056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 673056000 is about 25943.3228403765. The cubic root of 673056000 is about 876.3623946268.

The spelling of 673056000 in words is "six hundred seventy-three million, fifty-six thousand".