120533634 has 48 divisors (see below), whose sum is σ = 282102912. Its totient is φ = 36974304.

The previous prime is 120533629. The next prime is 120533641. The reversal of 120533634 is 436335021.

It is a happy number.

120533634 is a `hidden beast` number, since 1 + 20 + 5 + 3 + 3 + 634 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120533598 and 120533607.

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 23 ways as a sum of consecutive naturals, for example, 108727 + ... + 109829.

It is an arithmetic number, because the mean of its divisors is an integer number (5877144).

Almost surely, 2^120533634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120533634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141051456).

120533634 is an abundant number, since it is smaller than the sum of its proper divisors (161569278).

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

120533634 is a wasteful number, since it uses less digits than its factorization.

120533634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 120533634 is about 10978.7810798831. The cubic root of 120533634 is about 493.9724752048.

Adding to 120533634 its reverse (436335021), we get a palindrome (556868655).

The spelling of 120533634 in words is "one hundred twenty million, five hundred thirty-three thousand, six hundred thirty-four".