610041600 has 648 divisors, whose sum is σ = 2668891680. Its totient is φ = 129761280.

The previous prime is 610041589. The next prime is 610041629. The reversal of 610041600 is 6140016.

610041600 is a `hidden beast` number, since 61 + 0 + 0 + 4 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6854356 + ... + 6854444.

It is an arithmetic number, because the mean of its divisors is an integer number (4118660).

Almost surely, 2^610041600 is an apocalyptic number.

610041600 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 610041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334445840).

610041600 is an abundant number, since it is smaller than the sum of its proper divisors (2058850080).

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

610041600 is a wasteful number, since it uses less digits than its factorization.

610041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

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

The square root of 610041600 is about 24699.0202234826. The cubic root of 610041600 is about 848.1118874557. Note that the first 3 decimals are identical.

Adding to 610041600 its reverse (6140016), we get a palindrome (616181616).

The spelling of 610041600 in words is "six hundred ten million, forty-one thousand, six hundred".