616838976 has 252 divisors, whose sum is σ = 1994691972. Its totient is φ = 188116992.

The previous prime is 616838953. The next prime is 616838987. The reversal of 616838976 is 679838616.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 574848576 = 6480^2 + 23976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5458696 + ... + 5458808.

Almost surely, 2^616838976 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 616838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997345986).

616838976 is an abundant number, since it is smaller than the sum of its proper divisors (1377852996).

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

616838976 is an equidigital number, since it uses as much as digits as its factorization.

616838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 616838976 is about 24836.2431941709. The cubic root of 616838976 is about 851.2502827533.

The spelling of 616838976 in words is "six hundred sixteen million, eight hundred thirty-eight thousand, nine hundred seventy-six".