120506624 has 36 divisors (see below), whose sum is σ = 274909824. Its totient is φ = 51644928.

The previous prime is 120506611. The next prime is 120506627. The reversal of 120506624 is 426605021.

It is a junction number, because it is equal to n+sod(n) for n = 120506593 and 120506602.

It is not an unprimeable number, because it can be changed into a prime (120506627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31832 + ... + 35415.

It is an arithmetic number, because the mean of its divisors is an integer number (7636384).

Almost surely, 2^120506624 is an apocalyptic number.

120506624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120506624 is an abundant number, since it is smaller than the sum of its proper divisors (154403200).

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

120506624 is an frugal number, since it uses more digits than its factorization.

120506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67270 (or 67256 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 120506624 is about 10977.5509108362. The cubic root of 120506624 is about 493.9355748729.

The spelling of 120506624 in words is "one hundred twenty million, five hundred six thousand, six hundred twenty-four".