673889760 has 192 divisors, whose sum is σ = 2409523200. Its totient is φ = 175827456.

The previous prime is 673889747. The next prime is 673889761. The reversal of 673889760 is 67988376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 673889697 and 673889706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673889761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201381 + ... + 204699.

It is an arithmetic number, because the mean of its divisors is an integer number (12549600).

Almost surely, 2^673889760 is an apocalyptic number.

673889760 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 673889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204761600).

673889760 is an abundant number, since it is smaller than the sum of its proper divisors (1735633440).

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

673889760 is a wasteful number, since it uses less digits than its factorization.

673889760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 673889760 is about 25959.3867416008. The cubic root of 673889760 is about 876.7241151004.

The spelling of 673889760 in words is "six hundred seventy-three million, eight hundred eighty-nine thousand, seven hundred sixty".