616285440 has 216 divisors, whose sum is σ = 2169710088. Its totient is φ = 161464320.

The previous prime is 616285429. The next prime is 616285447. The reversal of 616285440 is 44582616.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 589906944 = 5136^2 + 24288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 616285395 and 616285404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616285447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702282 + ... + 703158.

Almost surely, 2^616285440 is an apocalyptic number.

616285440 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 616285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084855044).

616285440 is an abundant number, since it is smaller than the sum of its proper divisors (1553424648).

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

616285440 is a wasteful number, since it uses less digits than its factorization.

616285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 616285440 is about 24825.0969786625. The cubic root of 616285440 is about 850.9955762512.

The spelling of 616285440 in words is "six hundred sixteen million, two hundred eighty-five thousand, four hundred forty".