673881600 has 480 divisors, whose sum is σ = 2679114240. Its totient is φ = 145981440.

The previous prime is 673881599. The next prime is 673881641. The reversal of 673881600 is 6188376.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6182346 + ... + 6182454.

It is an arithmetic number, because the mean of its divisors is an integer number (5581488).

Almost surely, 2^673881600 is an apocalyptic number.

673881600 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 673881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339557120).

673881600 is an abundant number, since it is smaller than the sum of its proper divisors (2005232640).

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

673881600 is a wasteful number, since it uses less digits than its factorization.

673881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 673881600 is about 25959.2295725432. The cubic root of 673881600 is about 876.7205763922.

The spelling of 673881600 in words is "six hundred seventy-three million, eight hundred eighty-one thousand, six hundred".