610113600 has 336 divisors, whose sum is σ = 2305507200. Its totient is φ = 156764160.

The previous prime is 610113589. The next prime is 610113619. The reversal of 610113600 is 6311016.

610113600 is a `hidden beast` number, since 61 + 0 + 1 + 1 + 3 + 600 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1252557 + ... + 1253043.

Almost surely, 2^610113600 is an apocalyptic number.

610113600 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 610113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152753600).

610113600 is an abundant number, since it is smaller than the sum of its proper divisors (1695393600).

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

610113600 is a wasteful number, since it uses less digits than its factorization.

610113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 610113600 is about 24700.4777281736. The cubic root of 610113600 is about 848.1452522042.

Adding to 610113600 its reverse (6311016), we get a palindrome (616424616).

It can be divided in two parts, 6101 and 13600, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 610113600 in words is "six hundred ten million, one hundred thirteen thousand, six hundred".