673442100 has 180 divisors, whose sum is σ = 2215670688. Its totient is φ = 176904000.

The previous prime is 673442087. The next prime is 673442101. The reversal of 673442100 is 1244376.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673442101) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 574515 + ... + 575685.

Almost surely, 2^673442100 is an apocalyptic number.

673442100 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 673442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107835344).

673442100 is an abundant number, since it is smaller than the sum of its proper divisors (1542228588).

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

673442100 is a wasteful number, since it uses less digits than its factorization.

673442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 673442100 is about 25950.7629945634. The cubic root of 673442100 is about 876.5299383083.

Adding to 673442100 its reverse (1244376), we get a palindrome (674686476).

The spelling of 673442100 in words is "six hundred seventy-three million, four hundred forty-two thousand, one hundred".