654048 has 48 divisors (see below), whose sum is σ = 1910160. Its totient is φ = 217728.

The previous prime is 654047. The next prime is 654053. The reversal of 654048 is 840456.

654048 is a `hidden beast` number, since 654 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654047) 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, 486 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (39795).

2⁶⁵⁴⁰⁴⁸ 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 654048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955080).

654048 is an abundant number, since it is smaller than the sum of its proper divisors (1256112).

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

654048 is a wasteful number, since it uses less digits than its factorization.

654048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 654048 is about 808.7323413837. The cubic root of 654048 is about 86.8033608813.

The spelling of 654048 in words is "six hundred fifty-four thousand, forty-eight".