616056000 has 448 divisors, whose sum is σ = 2459857920. Its totient is φ = 132710400.

The previous prime is 616055959. The next prime is 616056043. The reversal of 616056000 is 650616.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3191904 + ... + 3192096.

Almost surely, 2^616056000 is an apocalyptic number.

616056000 is a gapful number since it is divisible by the number (60) 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 616056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229928960).

616056000 is an abundant number, since it is smaller than the sum of its proper divisors (1843801920).

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

616056000 is a wasteful number, since it uses less digits than its factorization.

616056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 616056000 is about 24820.4754184927. The cubic root of 616056000 is about 850.8899560045.

The spelling of 616056000 in words is "six hundred sixteen million, fifty-six thousand".