673764 has 48 divisors (see below), whose sum is σ = 1938048. Its totient is φ = 177408.

The previous prime is 673747. The next prime is 673769. The reversal of 673764 is 467376.

673764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 673764.

It is not an unprimeable number, because it can be changed into a prime (673769) 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, 784 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (40376).

2⁶⁷³⁷⁶⁴ 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 673764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969024).

673764 is an abundant number, since it is smaller than the sum of its proper divisors (1264284).

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

673764 is a wasteful number, since it uses less digits than its factorization.

673764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 673764 is about 820.8312859535. The cubic root of 673764 is about 87.6669574189. Note that the first 3 decimals are identical.

The spelling of 673764 in words is "six hundred seventy-three thousand, seven hundred sixty-four".