120288640 has 32 divisors (see below), whose sum is σ = 287566560. Its totient is φ = 48115200.

The previous prime is 120288611. The next prime is 120288647. The reversal of 120288640 is 46882021.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120288647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93336 + ... + 94615.

It is an arithmetic number, because the mean of its divisors is an integer number (8986455).

Almost surely, 2^120288640 is an apocalyptic number.

120288640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120288640 is an abundant number, since it is smaller than the sum of its proper divisors (167277920).

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

120288640 is an equidigital number, since it uses as much as digits as its factorization.

120288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187970 (or 187958 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 120288640 is about 10967.6177905687. The cubic root of 120288640 is about 493.6375690167.

The spelling of 120288640 in words is "one hundred twenty million, two hundred eighty-eight thousand, six hundred forty".