120545568 has 144 divisors (see below), whose sum is σ = 402869376. Its totient is φ = 33707520.

The previous prime is 120545563. The next prime is 120545573. The reversal of 120545568 is 865545021.

It is an interprime number because it is at equal distance from previous prime (120545563) and next prime (120545573).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120545561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39721 + ... + 42647.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^120545568 is an apocalyptic number.

120545568 is a gapful number since it is divisible by the number (18) 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 120545568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201434688).

120545568 is an abundant number, since it is smaller than the sum of its proper divisors (282323808).

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

120545568 is a wasteful number, since it uses less digits than its factorization.

120545568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 120545568 is about 10979.3245693895. The cubic root of 120545568 is about 493.9887773571.

The spelling of 120545568 in words is "one hundred twenty million, five hundred forty-five thousand, five hundred sixty-eight".