610121600 has 96 divisors (see below), whose sum is σ = 1644303240. Its totient is φ = 221849600.

The previous prime is 610121599. The next prime is 610121609. The reversal of 610121600 is 6121016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610121609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26534 + ... + 43866.

Almost surely, 2^610121600 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 610121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822151620).

610121600 is an abundant number, since it is smaller than the sum of its proper divisors (1034181640).

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

610121600 is a wasteful number, since it uses less digits than its factorization.

610121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17368 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 610121600 is about 24700.6396678305. The cubic root of 610121600 is about 848.1489592364.

Adding to 610121600 its reverse (6121016), we get a palindrome (616242616).

The spelling of 610121600 in words is "six hundred ten million, one hundred twenty-one thousand, six hundred".