673071840 has 216 divisors, whose sum is σ = 2672134920. Its totient is φ = 153828864.

The previous prime is 673071799. The next prime is 673071859. The reversal of 673071840 is 48170376.

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

It is a junction number, because it is equal to n+sod(n) for n = 673071795 and 673071804.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 65791 + ... + 75329.

It is an arithmetic number, because the mean of its divisors is an integer number (12370995).

Almost surely, 2^673071840 is an apocalyptic number.

673071840 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 673071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336067460).

673071840 is an abundant number, since it is smaller than the sum of its proper divisors (1999063080).

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

673071840 is a wasteful number, since it uses less digits than its factorization.

673071840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 673071840 is about 25943.6281194439. The cubic root of 673071840 is about 876.3692694740.

The spelling of 673071840 in words is "six hundred seventy-three million, seventy-one thousand, eight hundred forty".