1673664 has 56 divisors (see below), whose sum is σ = 4632960. Its totient is φ = 532224.

The previous prime is 1673663. The next prime is 1673669. The reversal of 1673664 is 4663761.

It is a super-3 number, since 3×1673664³ = 14064557690153336832, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4227 + ... + 4605.

2^1673664 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 1673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316480).

1673664 is an abundant number, since it is smaller than the sum of its proper divisors (2959296).

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

1673664 is a wasteful number, since it uses less digits than its factorization.

1673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 1673664 is about 1293.7016657638. The cubic root of 1673664 is about 118.7288036036.

The spelling of 1673664 in words is "one million, six hundred seventy-three thousand, six hundred sixty-four".