610138900 has 108 divisors (see below), whose sum is σ = 1565253984. Its totient is φ = 202219200.

The previous prime is 610138847. The next prime is 610138909. The reversal of 610138900 is 9831016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610138909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 672247 + ... + 673153.

Almost surely, 2^610138900 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 610138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782626992).

610138900 is an abundant number, since it is smaller than the sum of its proper divisors (955115084).

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

610138900 is a wasteful number, since it uses less digits than its factorization.

610138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 610138900 is about 24700.9898587081. The cubic root of 610138900 is about 848.1569755828.

Adding to 610138900 its reverse (9831016), we get a palindrome (619969916).

The spelling of 610138900 in words is "six hundred ten million, one hundred thirty-eight thousand, nine hundred".