616940064 has 288 divisors, whose sum is σ = 2080391040. Its totient is φ = 178163712.

The previous prime is 616940059. The next prime is 616940069. The reversal of 616940064 is 460049616.

It is an interprime number because it is at equal distance from previous prime (616940059) and next prime (616940069).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (616940069) 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, 1718317 + ... + 1718675.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^616940064 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 616940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520).

616940064 is an abundant number, since it is smaller than the sum of its proper divisors (1463450976).

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

616940064 is a wasteful number, since it uses less digits than its factorization.

616940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 616940064 is about 24838.2782011958. The cubic root of 616940064 is about 851.2967813759.

The spelling of 616940064 in words is "six hundred sixteen million, nine hundred forty thousand, sixty-four".