648111240 has 384 divisors, whose sum is σ = 2588803200. Its totient is φ = 143700480.

The previous prime is 648111221. The next prime is 648111241. The reversal of 648111240 is 42111846.

It is a happy number.

648111240 is a `hidden beast` number, since 648 + 1 + 1 + 12 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648111241) 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 95 ways as a sum of consecutive naturals, for example, 1957875 + ... + 1958205.

It is an arithmetic number, because the mean of its divisors is an integer number (6741675).

Almost surely, 2^648111240 is an apocalyptic number.

648111240 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 648111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294401600).

648111240 is an abundant number, since it is smaller than the sum of its proper divisors (1940691960).

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

648111240 is a wasteful number, since it uses less digits than its factorization.

648111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

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

The square root of 648111240 is about 25458.0289889064. The cubic root of 648111240 is about 865.3992565865.

The spelling of 648111240 in words is "six hundred forty-eight million, one hundred eleven thousand, two hundred forty".