616861440 has 288 divisors, whose sum is σ = 2359103040. Its totient is φ = 151732224.

The previous prime is 616861433. The next prime is 616861457. The reversal of 616861440 is 44168616.

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 a junction number, because it is equal to n+sod(n) for n = 616861395 and 616861404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448594 + ... + 449966.

It is an arithmetic number, because the mean of its divisors is an integer number (8191330).

Almost surely, 2^616861440 is an apocalyptic number.

616861440 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 616861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179551520).

616861440 is an abundant number, since it is smaller than the sum of its proper divisors (1742241600).

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

616861440 is a wasteful number, since it uses less digits than its factorization.

616861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 616861440 is about 24836.6954323638. The cubic root of 616861440 is about 851.2606162196.

The spelling of 616861440 in words is "six hundred sixteen million, eight hundred sixty-one thousand, four hundred forty".