673085952 has 360 divisors, whose sum is σ = 2474252352. Its totient is φ = 174182400.

The previous prime is 673085951. The next prime is 673085977. The reversal of 673085952 is 259580376.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 673085898 and 673085907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673085951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483577 + ... + 2483847.

Almost surely, 2^673085952 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 673085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237126176).

673085952 is an abundant number, since it is smaller than the sum of its proper divisors (1801166400).

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

673085952 is a wasteful number, since it uses less digits than its factorization.

673085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 673085952 is about 25943.9000923146. The cubic root of 673085952 is about 876.3753942470.

The spelling of 673085952 in words is "six hundred seventy-three million, eighty-five thousand, nine hundred fifty-two".