616404096 has 192 divisors, whose sum is σ = 2211768000. Its totient is φ = 160081920.

The previous prime is 616404091. The next prime is 616404119. The reversal of 616404096 is 690404616.

616404096 is a `hidden beast` number, since 6 + 1 + 640 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 616404096.

It is not an unprimeable number, because it can be changed into a prime (616404091) 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, 85230 + ... + 92178.

It is an arithmetic number, because the mean of its divisors is an integer number (11519625).

Almost surely, 2^616404096 is an apocalyptic number.

616404096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105884000).

616404096 is an abundant number, since it is smaller than the sum of its proper divisors (1595363904).

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

616404096 is a wasteful number, since it uses less digits than its factorization.

616404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 616404096 is about 24827.4867032489. The cubic root of 616404096 is about 851.0501879862.

The spelling of 616404096 in words is "six hundred sixteen million, four hundred four thousand, ninety-six".