120207648 has 96 divisors (see below), whose sum is σ = 349574400. Its totient is φ = 35861760.

The previous prime is 120207643. The next prime is 120207649. The reversal of 120207648 is 846702021.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (120207643) 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 15 ways as a sum of consecutive naturals, for example, 69903 + ... + 71601.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2^120207648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120207648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787200).

120207648 is an abundant number, since it is smaller than the sum of its proper divisors (229366752).

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

120207648 is a wasteful number, since it uses less digits than its factorization.

120207648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 120207648 is about 10963.9248446895. The cubic root of 120207648 is about 493.5267531477.

Adding to 120207648 its reverse (846702021), we get a palindrome (966909669).

The spelling of 120207648 in words is "one hundred twenty million, two hundred seven thousand, six hundred forty-eight".