673863120 has 480 divisors, whose sum is σ = 2822676480. Its totient is φ = 140590080.

The previous prime is 673863109. The next prime is 673863149. The reversal of 673863120 is 21368376.

It is a happy number.

It is a super-2 number, since 2×673863120² = 908183008992268800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968447 + ... + 2968673.

It is an arithmetic number, because the mean of its divisors is an integer number (5880576).

Almost surely, 2^673863120 is an apocalyptic number.

673863120 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 673863120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411338240).

673863120 is an abundant number, since it is smaller than the sum of its proper divisors (2148813360).

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

673863120 is a wasteful number, since it uses less digits than its factorization.

673863120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 673863120 is about 25958.8736273360. The cubic root of 673863120 is about 876.7125621533.

The spelling of 673863120 in words is "six hundred seventy-three million, eight hundred sixty-three thousand, one hundred twenty".