654688 has 24 divisors (see below), whose sum is σ = 1323000. Its totient is φ = 318720.

The previous prime is 654679. The next prime is 654697. The reversal of 654688 is 886456.

It is an interprime number because it is at equal distance from previous prime (654679) and next prime (654697).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1063 + ... + 1561.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2⁶⁵⁴⁶⁸⁸ 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 654688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661500).

654688 is an abundant number, since it is smaller than the sum of its proper divisors (668312).

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

654688 is a wasteful number, since it uses less digits than its factorization.

654688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 654688 is about 809.1279256088. The cubic root of 654688 is about 86.8316646350.

It can be divided in two parts, 65 and 4688, that added together give a triangular number (4753 = T₉₇).

The spelling of 654688 in words is "six hundred fifty-four thousand, six hundred eighty-eight".