654672 has 40 divisors (see below), whose sum is σ = 1767744. Its totient is φ = 208384.

The previous prime is 654671. The next prime is 654679. The reversal of 654672 is 276456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654671) 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 7 ways as a sum of consecutive naturals, for example, 808 + ... + 1400.

2⁶⁵⁴⁶⁷² 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 654672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872).

654672 is an abundant number, since it is smaller than the sum of its proper divisors (1113072).

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

654672 is a wasteful number, since it uses less digits than its factorization.

654672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 654672 is about 809.1180383603. The cubic root of 654672 is about 86.8309572660.

It can be divided in two parts, 654 and 672, that added together give a triangular number (1326 = T₅₁).

The spelling of 654672 in words is "six hundred fifty-four thousand, six hundred seventy-two".