120463632 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 36882432.

The previous prime is 120463619. The next prime is 120463633. The reversal of 120463632 is 236364021.

120463632 is a `hidden beast` number, since 1 + 20 + 4 + 6 + 3 + 632 = 666.

It is a super-2 number, since 2×120463632² = 29022973269262848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120463596 and 120463605.

It is not an unprimeable number, because it can be changed into a prime (120463633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344994 + ... + 345342.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^120463632 is an apocalyptic number.

120463632 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 120463632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

120463632 is an abundant number, since it is smaller than the sum of its proper divisors (254512368).

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

120463632 is a wasteful number, since it uses less digits than its factorization.

120463632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 120463632 is about 10975.5925580353. The cubic root of 120463632 is about 493.8768289901.

The spelling of 120463632 in words is "one hundred twenty million, four hundred sixty-three thousand, six hundred thirty-two".