618048000 has 480 divisors, whose sum is σ = 2365094160. Its totient is φ = 154828800.

The previous prime is 618047959. The next prime is 618048001. The reversal of 618048000 is 840816.

618048000 is a `hidden beast` number, since 6 + 180 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 102576384 + 515471616 = 10128^2 + 22704^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618048001) 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 47 ways as a sum of consecutive naturals, for example, 16703982 + ... + 16704018.

Almost surely, 2^618048000 is an apocalyptic number.

618048000 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 618048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182547080).

618048000 is an abundant number, since it is smaller than the sum of its proper divisors (1747046160).

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

618048000 is a wasteful number, since it uses less digits than its factorization.

618048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 618048000 is about 24860.5711921508. The cubic root of 618048000 is about 851.8060789893.

Adding to 618048000 its reverse (840816), we get a palindrome (618888816).

The spelling of 618048000 in words is "six hundred eighteen million, forty-eight thousand".