616110720 has 128 divisors (see below), whose sum is σ = 2067336000. Its totient is φ = 155639808.

The previous prime is 616110707. The next prime is 616110721. The reversal of 616110720 is 27011616.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (616110721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28036 + ... + 44924.

Almost surely, 2^616110720 is an apocalyptic number.

616110720 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 616110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033668000).

616110720 is an abundant number, since it is smaller than the sum of its proper divisors (1451225280).

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

616110720 is a wasteful number, since it uses less digits than its factorization.

616110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 616110720 is about 24821.5777097267. The cubic root of 616110720 is about 850.9151481515.

The spelling of 616110720 in words is "six hundred sixteen million, one hundred ten thousand, seven hundred twenty".