614120 has 32 divisors (see below), whose sum is σ = 1489320. Its totient is φ = 226560.

The previous prime is 614113. The next prime is 614129. The reversal of 614120 is 21416.

It can be written as a sum of positive squares in 4 ways, for example, as 515524 + 98596 = 718^2 + 314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 614095 and 614104.

It is not an unprimeable number, because it can be changed into a prime (614129) by changing a digit.

614120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 71 + ... + 1110.

2⁶¹⁴¹²⁰ 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 614120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744660).

614120 is an abundant number, since it is smaller than the sum of its proper divisors (875200).

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

614120 is a wasteful number, since it uses less digits than its factorization.

614120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 614120 is about 783.6580887096. The cubic root of 614120 is about 84.9997693189. Note that the first 3 decimals are identical.

Adding to 614120 its reverse (21416), we get a palindrome (635536).

Subtracting from 614120 its reverse (21416), we obtain a cube (592704 = 84³).

The spelling of 614120 in words is "six hundred fourteen thousand, one hundred twenty".