601505120 has 24 divisors (see below), whose sum is σ = 1421056224. Its totient is φ = 240601984.

The previous prime is 601505117. The next prime is 601505129. The reversal of 601505120 is 21505106.

601505120 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 601505092 and 601505101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601505129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1879544 + ... + 1879863.

It is an arithmetic number, because the mean of its divisors is an integer number (59210676).

Almost surely, 2^601505120 is an apocalyptic number.

It is an amenable number.

601505120 is an abundant number, since it is smaller than the sum of its proper divisors (819551104).

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

601505120 is a wasteful number, since it uses less digits than its factorization.

601505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759422 (or 3759414 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 601505120 is about 24525.6013178067. The cubic root of 601505120 is about 844.1373360516.

It can be divided in two parts, 601 and 505120, that multiplied together give a triangular number (303577120 = T₂₄₆₄₀).

The spelling of 601505120 in words is "six hundred one million, five hundred five thousand, one hundred twenty".