614320 has 40 divisors (see below), whose sum is σ = 1633824. Its totient is φ = 210432.

The previous prime is 614297. The next prime is 614321. The reversal of 614320 is 23416.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 614294 and 614303.

It is not an unprimeable number, because it can be changed into a prime (614321) by changing a digit.

614320 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, 12 + ... + 1108.

2⁶¹⁴³²⁰ 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 614320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816912).

614320 is an abundant number, since it is smaller than the sum of its proper divisors (1019504).

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

614320 is a wasteful number, since it uses less digits than its factorization.

614320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 614320 is about 783.7856849930. The cubic root of 614320 is about 85.0089955878.

Adding to 614320 its reverse (23416), we get a palindrome (637736).

The spelling of 614320 in words is "six hundred fourteen thousand, three hundred twenty".