610540000 has 240 divisors, whose sum is σ = 1771308000. Its totient is φ = 206976000.

The previous prime is 610539971. The next prime is 610540027. The reversal of 610540000 is 45016.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 6859956 + ... + 6860044.

It is an arithmetic number, because the mean of its divisors is an integer number (7380450).

Almost surely, 2^610540000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885654000).

610540000 is an abundant number, since it is smaller than the sum of its proper divisors (1160768000).

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

610540000 is an frugal number, since it uses more digits than its factorization.

610540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 610540000 is about 24709.1076326119. The cubic root of 610540000 is about 848.3427918742.

Adding to 610540000 its reverse (45016), we get a palindrome (610585016).

The spelling of 610540000 in words is "six hundred ten million, five hundred forty thousand".