616531968 has 288 divisors, whose sum is σ = 2003339520. Its totient is φ = 181370880.

The previous prime is 616531957. The next prime is 616531991. The reversal of 616531968 is 869135616.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×616531968² = 760223335131906048, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7428055 + ... + 7428137.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2^616531968 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 616531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

616531968 is an abundant number, since it is smaller than the sum of its proper divisors (1386807552).

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

616531968 is a wasteful number, since it uses less digits than its factorization.

616531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 616531968 is about 24830.0617800279. The cubic root of 616531968 is about 851.1090335638.

The spelling of 616531968 in words is "six hundred sixteen million, five hundred thirty-one thousand, nine hundred sixty-eight".