673826440 has 96 divisors (see below), whose sum is σ = 1778181120. Its totient is φ = 229122432.

The previous prime is 673826429. The next prime is 673826441. The reversal of 673826440 is 44628376.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 673826393 and 673826402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673826441) 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 23 ways as a sum of consecutive naturals, for example, 247567 + ... + 250273.

It is an arithmetic number, because the mean of its divisors is an integer number (18522720).

Almost surely, 2^673826440 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 673826440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889090560).

673826440 is an abundant number, since it is smaller than the sum of its proper divisors (1104354680).

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

673826440 is a wasteful number, since it uses less digits than its factorization.

673826440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 673826440 is about 25958.1671155727. The cubic root of 673826440 is about 876.6966546693.

The spelling of 673826440 in words is "six hundred seventy-three million, eight hundred twenty-six thousand, four hundred forty".