654048000 has 288 divisors, whose sum is σ = 2416989120. Its totient is φ = 174182400.

The previous prime is 654047983. The next prime is 654048029. The reversal of 654048000 is 840456.

654048000 is a `hidden beast` number, since 654 + 0 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863622 + ... + 864378.

Almost surely, 2^654048000 is an apocalyptic number.

654048000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208494560).

654048000 is an abundant number, since it is smaller than the sum of its proper divisors (1762941120).

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

654048000 is an equidigital number, since it uses as much as digits as its factorization.

654048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 767 counting only the distinct ones).

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

The square root of 654048000 is about 25574.3621621342. The cubic root of 654048000 is about 868.0336088128.

Adding to 654048000 its reverse (840456), we get a palindrome (654888456).

The spelling of 654048000 in words is "six hundred fifty-four million, forty-eight thousand".