673553144 has 64 divisors (see below), whose sum is σ = 1418860800. Its totient is φ = 297158400.

The previous prime is 673553129. The next prime is 673553149. The reversal of 673553144 is 441355376.

It is a junction number, because it is equal to n+sod(n) for n = 673553098 and 673553107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673553149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417812 + ... + 419420.

It is an arithmetic number, because the mean of its divisors is an integer number (22169700).

Almost surely, 2^673553144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673553144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709430400).

673553144 is an abundant number, since it is smaller than the sum of its proper divisors (745307656).

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

673553144 is a wasteful number, since it uses less digits than its factorization.

673553144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1760 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 673553144 is about 25952.9024195753. The cubic root of 673553144 is about 876.5781127251.

The spelling of 673553144 in words is "six hundred seventy-three million, five hundred fifty-three thousand, one hundred forty-four".