616315590 has 96 divisors (see below), whose sum is σ = 1824166656. Its totient is φ = 142908480.

The previous prime is 616315573. The next prime is 616315591. The reversal of 616315590 is 95513616.

616315590 is a `hidden beast` number, since 6 + 1 + 63 + 1 + 5 + 590 = 666.

616315590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616315591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9237 + ... + 36303.

It is an arithmetic number, because the mean of its divisors is an integer number (19001736).

Almost surely, 2^616315590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616315590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912083328).

616315590 is an abundant number, since it is smaller than the sum of its proper divisors (1207851066).

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

616315590 is a wasteful number, since it uses less digits than its factorization.

616315590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27114 (or 27111 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 616315590 is about 24825.7042196188. The cubic root of 616315590 is about 851.0094535319.

The spelling of 616315590 in words is "six hundred sixteen million, three hundred fifteen thousand, five hundred ninety".