120535632 has 120 divisors (see below), whose sum is σ = 388118016. Its totient is φ = 34207488.

The previous prime is 120535609. The next prime is 120535633. The reversal of 120535632 is 236535021.

120535632 is a `hidden beast` number, since 1 + 20 + 5 + 3 + 5 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120535596 and 120535605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120535633) 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, 198273 + ... + 198879.

Almost surely, 2^120535632 is an apocalyptic number.

120535632 is a gapful number since it is divisible by the number (12) 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 120535632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194059008).

120535632 is an abundant number, since it is smaller than the sum of its proper divisors (267582384).

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

120535632 is a wasteful number, since it uses less digits than its factorization.

120535632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 120535632 is about 10978.8720732141. The cubic root of 120535632 is about 493.9752045994.

The spelling of 120535632 in words is "one hundred twenty million, five hundred thirty-five thousand, six hundred thirty-two".