120536766 has 72 divisors (see below), whose sum is σ = 321712560. Its totient is φ = 32409216.

The previous prime is 120536737. The next prime is 120536777. The reversal of 120536766 is 667635021.

It is a super-2 number, since 2×120536766² = 29058223915477512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120536766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10975 + ... + 19013.

It is an arithmetic number, because the mean of its divisors is an integer number (4468230).

Almost surely, 2^120536766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120536766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160856280).

120536766 is an abundant number, since it is smaller than the sum of its proper divisors (201175794).

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

120536766 is a wasteful number, since it uses less digits than its factorization.

120536766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8068 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 120536766 is about 10978.9237177421. The cubic root of 120536766 is about 493.9767537019.

The spelling of 120536766 in words is "one hundred twenty million, five hundred thirty-six thousand, seven hundred sixty-six".