673589952 has 224 divisors, whose sum is σ = 2282342400. Its totient is φ = 190826496.

The previous prime is 673589933. The next prime is 673589953. The reversal of 673589952 is 259985376.

673589952 is a `hidden beast` number, since 6 + 7 + 3 + 589 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (673589953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2818249 + ... + 2818487.

Almost surely, 2^673589952 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 673589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141171200).

673589952 is an abundant number, since it is smaller than the sum of its proper divisors (1608752448).

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

673589952 is a wasteful number, since it uses less digits than its factorization.

673589952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 673589952 is about 25953.6115405930. The cubic root of 673589952 is about 876.5940800370.

It can be divided in two parts, 673589 and 952, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 673589952 in words is "six hundred seventy-three million, five hundred eighty-nine thousand, nine hundred fifty-two".