673333920 has 288 divisors, whose sum is σ = 2667869568. Its totient is φ = 151455744.

The previous prime is 673333897. The next prime is 673333933. The reversal of 673333920 is 29333376.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 674862 + ... + 675858.

It is an arithmetic number, because the mean of its divisors is an integer number (9263436).

Almost surely, 2^673333920 is an apocalyptic number.

673333920 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 673333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333934784).

673333920 is an abundant number, since it is smaller than the sum of its proper divisors (1994535648).

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

673333920 is a wasteful number, since it uses less digits than its factorization.

673333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

The square root of 673333920 is about 25948.6785790722. The cubic root of 673333920 is about 876.4830012930.

It can be divided in two parts, 67333 and 3920, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 673333920 in words is "six hundred seventy-three million, three hundred thirty-three thousand, nine hundred twenty".