648405120 has 192 divisors, whose sum is σ = 2272576320. Its totient is φ = 157132800.

The previous prime is 648405101. The next prime is 648405193. The reversal of 648405120 is 21504846.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 230925 + ... + 233715.

It is an arithmetic number, because the mean of its divisors is an integer number (11836335).

Almost surely, 2^648405120 is an apocalyptic number.

648405120 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 648405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136288160).

648405120 is an abundant number, since it is smaller than the sum of its proper divisors (1624171200).

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

648405120 is a wasteful number, since it uses less digits than its factorization.

648405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 648405120 is about 25463.8001877175. The cubic root of 648405120 is about 865.5300392296.

Adding to 648405120 its reverse (21504846), we get a palindrome (669909966).

The spelling of 648405120 in words is "six hundred forty-eight million, four hundred five thousand, one hundred twenty".