120045640 has 128 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 38937600.

The previous prime is 120045617. The next prime is 120045641. The reversal of 120045640 is 46540021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (120045641) 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 31 ways as a sum of consecutive naturals, for example, 176982 + ... + 177658.

It is an arithmetic number, because the mean of its divisors is an integer number (2562840).

Almost surely, 2^120045640 is an apocalyptic number.

120045640 is a gapful number since it is divisible by the number (10) 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 120045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

120045640 is an abundant number, since it is smaller than the sum of its proper divisors (207997880).

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

120045640 is a wasteful number, since it uses less digits than its factorization.

120045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 120045640 is about 10956.5341235265. The cubic root of 120045640 is about 493.3049391173.

Adding to 120045640 its reverse (46540021), we get a palindrome (166585661).

The spelling of 120045640 in words is "one hundred twenty million, forty-five thousand, six hundred forty".