120797568 has 160 divisors (see below), whose sum is σ = 367297920. Its totient is φ = 39398400.

The previous prime is 120797549. The next prime is 120797569. The reversal of 120797568 is 865797021.

120797568 is a `hidden beast` number, since 12 + 0 + 79 + 7 + 568 = 666.

It is a super-3 number, since 3×120797568³ (a number of 25 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120797569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632353 + ... + 632543.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 2^120797568 is an apocalyptic number.

120797568 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 120797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

120797568 is an abundant number, since it is smaller than the sum of its proper divisors (246500352).

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

120797568 is an equidigital number, since it uses as much as digits as its factorization.

120797568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 120797568 is about 10990.7946937426. The cubic root of 120797568 is about 494.3327649167.

The spelling of 120797568 in words is "one hundred twenty million, seven hundred ninety-seven thousand, five hundred sixty-eight".