610115200 has 96 divisors (see below), whose sum is σ = 1548210060. Its totient is φ = 237404160.

The previous prime is 610115161. The next prime is 610115221. The reversal of 610115200 is 2511016.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 396487744 + 213627456 = 19912^2 + 14616^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 115824 + ... + 120976.

Almost surely, 2^610115200 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 610115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774105030).

610115200 is an abundant number, since it is smaller than the sum of its proper divisors (938094860).

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

610115200 is a wasteful number, since it uses less digits than its factorization.

610115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 610115200 is about 24700.5101161899. The cubic root of 610115200 is about 848.1459936132.

Adding to 610115200 its reverse (2511016), we get a palindrome (612626216).

The spelling of 610115200 in words is "six hundred ten million, one hundred fifteen thousand, two hundred".