616728 has 32 divisors (see below), whose sum is σ = 1762560. Its totient is φ = 176160.

The previous prime is 616723. The next prime is 616729. The reversal of 616728 is 827616.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 616695 and 616704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 616728.

It is not an unprimeable number, because it can be changed into a prime (616723) 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, 1668 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

2⁶¹⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

616728 is an abundant number, since it is smaller than the sum of its proper divisors (1145832).

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

616728 is a wasteful number, since it uses less digits than its factorization.

616728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3683 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 616728 is about 785.3203168135. The cubic root of 616728 is about 85.1199229982.

The spelling of 616728 in words is "six hundred sixteen thousand, seven hundred twenty-eight".