601120 has 72 divisors (see below), whose sum is σ = 1624644. Its totient is φ = 208896.

The previous prime is 601093. The next prime is 601127. The reversal of 601120 is 21106.

601120 = T₁₈₅ + T₁₈₆ + ... + T₂₁₄.

It can be written as a sum of positive squares in 6 ways, for example, as 318096 + 283024 = 564^2 + 532^2 .

It is a super-2 number, since 2×601120² = 722690508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 601097 and 601106.

It is not an unprimeable number, because it can be changed into a prime (601127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35352 + ... + 35368.

2⁶⁰¹¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812322).

601120 is an abundant number, since it is smaller than the sum of its proper divisors (1023524).

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

601120 is a wasteful number, since it uses less digits than its factorization.

601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 601120 is about 775.3192890674. The cubic root of 601120 is about 84.3957141643.

Adding to 601120 its reverse (21106), we get a palindrome (622226).

The spelling of 601120 in words is "six hundred one thousand, one hundred twenty".