601773120 has 168 divisors, whose sum is σ = 2229206616. Its totient is φ = 148119552.

The previous prime is 601773103. The next prime is 601773169. The reversal of 601773120 is 21377106.

601773120 is a `hidden beast` number, since 601 + 7 + 7 + 31 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 600446016 = 1152^2 + 24504^2 .

It is a congruent number.

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, 29404 + ... + 45476.

It is an arithmetic number, because the mean of its divisors is an integer number (13269087).

Almost surely, 2^601773120 is an apocalyptic number.

601773120 is a gapful number since it is divisible by the number (60) 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 601773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114603308).

601773120 is an abundant number, since it is smaller than the sum of its proper divisors (1627433496).

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

601773120 is a wasteful number, since it uses less digits than its factorization.

601773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16109 (or 16096 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 601773120 is about 24531.0643878328. The cubic root of 601773120 is about 844.2626856167.

The spelling of 601773120 in words is "six hundred one million, seven hundred seventy-three thousand, one hundred twenty".