610126080 has 144 divisors (see below), whose sum is σ = 1982352960. Its totient is φ = 159883264.

The previous prime is 610126057. The next prime is 610126109. The reversal of 610126080 is 80621016.

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

It is a self number, because there is not a number n which added to its sum of digits gives 610126080.

It is a congruent number.

It is an unprimeable number.

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, 225214 + ... + 227906.

It is an arithmetic number, because the mean of its divisors is an integer number (13766340).

Almost surely, 2^610126080 is an apocalyptic number.

610126080 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 610126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991176480).

610126080 is an abundant number, since it is smaller than the sum of its proper divisors (1372226880).

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

610126080 is a wasteful number, since it uses less digits than its factorization.

610126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 610126080 is about 24700.7303535746. The cubic root of 610126080 is about 848.1510351603.

Adding to 610126080 its reverse (80621016), we get a palindrome (690747096).

The spelling of 610126080 in words is "six hundred ten million, one hundred twenty-six thousand, eighty".