120906306 has 48 divisors (see below), whose sum is σ = 270316800. Its totient is φ = 39027744.

The previous prime is 120906301. The next prime is 120906337. The reversal of 120906306 is 603609021.

It is a happy number.

120906306 is a `hidden beast` number, since 1 + 20 + 9 + 0 + 630 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120906306.

It is not an unprimeable number, because it can be changed into a prime (120906301) 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, 252175 + ... + 252653.

It is an arithmetic number, because the mean of its divisors is an integer number (5631600).

Almost surely, 2^120906306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120906306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135158400).

120906306 is an abundant number, since it is smaller than the sum of its proper divisors (149410494).

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

120906306 is a wasteful number, since it uses less digits than its factorization.

120906306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120906306 is about 10995.7403570655. The cubic root of 120906306 is about 494.4810478010.

The spelling of 120906306 in words is "one hundred twenty million, nine hundred six thousand, three hundred six".