616761440 has 48 divisors (see below), whose sum is σ = 1464084720. Its totient is φ = 245521920.

The previous prime is 616761421. The next prime is 616761443. The reversal of 616761440 is 44167616.

It is a self number, because there is not a number n which added to its sum of digits gives 616761440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616761443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24626 + ... + 42894.

It is an arithmetic number, because the mean of its divisors is an integer number (30501765).

Almost surely, 2^616761440 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 616761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732042360).

616761440 is an abundant number, since it is smaller than the sum of its proper divisors (847323280).

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

616761440 is a wasteful number, since it uses less digits than its factorization.

616761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18495 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 616761440 is about 24834.6822005034. The cubic root of 616761440 is about 851.2146141752.

The spelling of 616761440 in words is "six hundred sixteen million, seven hundred sixty-one thousand, four hundred forty".