616960 has 40 divisors (see below), whose sum is σ = 1485396. Its totient is φ = 245760.

The previous prime is 616951. The next prime is 616961. The reversal of 616960 is 69616.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 2304 = 784^2 + 48^2 .

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

It is not an unprimeable number, because it can be changed into a prime (616961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2440 + ... + 2680.

2⁶¹⁶⁹⁶⁰ 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 616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742698).

616960 is an abundant number, since it is smaller than the sum of its proper divisors (868436).

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

616960 is an equidigital number, since it uses as much as digits as its factorization.

616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 616960 is about 785.4680133525. The cubic root of 616960 is about 85.1305950970.

It can be divided in two parts, 61 and 6960, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 616960 in words is "six hundred sixteen thousand, nine hundred sixty".