616930272 has 288 divisors, whose sum is σ = 2173796352. Its totient is φ = 161943552.

The previous prime is 616930261. The next prime is 616930309. The reversal of 616930272 is 272039616.

616930272 is a `hidden beast` number, since 616 + 9 + 30 + 2 + 7 + 2 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1610593 + ... + 1610975.

It is an arithmetic number, because the mean of its divisors is an integer number (7547904).

Almost surely, 2^616930272 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 616930272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086898176).

616930272 is an abundant number, since it is smaller than the sum of its proper divisors (1556866080).

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

616930272 is a wasteful number, since it uses less digits than its factorization.

616930272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 616930272 is about 24838.0810853013. The cubic root of 616930272 is about 851.2922774580.

Adding to 616930272 its reverse (272039616), we get a palindrome (888969888).

The spelling of 616930272 in words is "six hundred sixteen million, nine hundred thirty thousand, two hundred seventy-two".