120633786 has 160 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 31624992.

The previous prime is 120633763. The next prime is 120633787. The reversal of 120633786 is 687336021.

It is a happy number.

120633786 is a `hidden beast` number, since 12 + 0 + 633 + 7 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120633786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120633787) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 722275 + ... + 722441.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^120633786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120633786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).

120633786 is an abundant number, since it is smaller than the sum of its proper divisors (220876614).

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

120633786 is a wasteful number, since it uses less digits than its factorization.

120633786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 120633786 is about 10983.3412948884. The cubic root of 120633786 is about 494.1092520633.

The spelling of 120633786 in words is "one hundred twenty million, six hundred thirty-three thousand, seven hundred eighty-six".