648069120 has 240 divisors, whose sum is σ = 2312039520. Its totient is φ = 172228608.

The previous prime is 648069113. The next prime is 648069133. The reversal of 648069120 is 21960846.

648069120 is a `hidden beast` number, since 648 + 0 + 6 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211694 + ... + 2211986.

It is an arithmetic number, because the mean of its divisors is an integer number (9633498).

Almost surely, 2^648069120 is an apocalyptic number.

648069120 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 648069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156019760).

648069120 is an abundant number, since it is smaller than the sum of its proper divisors (1663970400).

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

648069120 is an equidigital number, since it uses as much as digits as its factorization.

648069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 648069120 is about 25457.2017315337. The cubic root of 648069120 is about 865.3805090814.

The spelling of 648069120 in words is "six hundred forty-eight million, sixty-nine thousand, one hundred twenty".