120906324 has 288 divisors, whose sum is σ = 416747520. Its totient is φ = 29937600.

The previous prime is 120906301. The next prime is 120906337. The reversal of 120906324 is 423609021.

120906324 is a `hidden beast` number, since 1 + 20 + 9 + 0 + 632 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1804539 + ... + 1804605.

It is an arithmetic number, because the mean of its divisors is an integer number (1447040).

Almost surely, 2^120906324 is an apocalyptic number.

120906324 is a gapful number since it is divisible by the number (14) 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 120906324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

120906324 is an abundant number, since it is smaller than the sum of its proper divisors (295841196).

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

120906324 is a wasteful number, since it uses less digits than its factorization.

120906324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 120906324 is about 10995.7411755643. The cubic root of 120906324 is about 494.4810723398.

The spelling of 120906324 in words is "one hundred twenty million, nine hundred six thousand, three hundred twenty-four".