616296096 has 144 divisors (see below), whose sum is σ = 1907988264. Its totient is φ = 187564032.

The previous prime is 616296091. The next prime is 616296097. The reversal of 616296096 is 690692616.

616296096 is a `hidden beast` number, since 6 + 16 + 29 + 609 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 556016400 + 60279696 = 23580^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (616296091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362320 + ... + 364016.

Almost surely, 2^616296096 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 616296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953994132).

616296096 is an abundant number, since it is smaller than the sum of its proper divisors (1291692168).

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

616296096 is a wasteful number, since it uses less digits than its factorization.

616296096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 616296096 is about 24825.3115992529. The cubic root of 616296096 is about 851.0004809896. Note that the first 3 decimals are identical.

The spelling of 616296096 in words is "six hundred sixteen million, two hundred ninety-six thousand, ninety-six".