673598640 has 320 divisors, whose sum is σ = 2584834560. Its totient is φ = 142663680.

The previous prime is 673598623. The next prime is 673598647. The reversal of 673598640 is 46895376.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 673598640.

It is not an unprimeable number, because it can be changed into a prime (673598647) 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 63 ways as a sum of consecutive naturals, for example, 651564 + ... + 652596.

It is an arithmetic number, because the mean of its divisors is an integer number (8077608).

Almost surely, 2^673598640 is an apocalyptic number.

673598640 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 673598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292417280).

673598640 is an abundant number, since it is smaller than the sum of its proper divisors (1911235920).

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

673598640 is a wasteful number, since it uses less digits than its factorization.

673598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 673598640 is about 25953.7789156030. The cubic root of 673598640 is about 876.5978488069.

The spelling of 673598640 in words is "six hundred seventy-three million, five hundred ninety-eight thousand, six hundred forty".