616320 has 96 divisors (see below), whose sum is σ = 2148120. Its totient is φ = 162816.

The previous prime is 616313. The next prime is 616321. The reversal of 616320 is 23616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 616293 and 616302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616321) 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, 5707 + ... + 5813.

2⁶¹⁶³²⁰ is an apocalyptic number.

616320 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 616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060).

616320 is an abundant number, since it is smaller than the sum of its proper divisors (1531800).

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

616320 is a wasteful number, since it uses less digits than its factorization.

616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 616320 is about 785.0605072222. The cubic root of 616320 is about 85.1011483305.

Adding to 616320 its reverse (23616), we get a palindrome (639936).

Subtracting from 616320 its reverse (23616), we obtain a cube (592704 = 84³).

The spelling of 616320 in words is "six hundred sixteen thousand, three hundred twenty".