610030080 has 480 divisors, whose sum is σ = 2412970560. Its totient is φ = 141066240.

The previous prime is 610030079. The next prime is 610030117. The reversal of 610030080 is 80030016.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7349719 + ... + 7349801.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2^610030080 is an apocalyptic number.

610030080 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 610030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206485280).

610030080 is an abundant number, since it is smaller than the sum of its proper divisors (1802940480).

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

610030080 is a wasteful number, since it uses less digits than its factorization.

610030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 610030080 is about 24698.7870147503. The cubic root of 610030080 is about 848.1065488523.

Adding to 610030080 its reverse (80030016), we get a palindrome (690060096).

The spelling of 610030080 in words is "six hundred ten million, thirty thousand, eighty".