610040000 has 140 divisors (see below), whose sum is σ = 1537795248. Its totient is φ = 240000000.

The previous prime is 610039993. The next prime is 610040009. The reversal of 610040000 is 40016.

It is not an unprimeable number, because it can be changed into a prime (610040009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4039925 + ... + 4040075.

Almost surely, 2^610040000 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 610040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768897624).

610040000 is an abundant number, since it is smaller than the sum of its proper divisors (927755248).

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

610040000 is a wasteful number, since it uses less digits than its factorization.

610040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 610040000 is about 24698.9878335125. The cubic root of 610040000 is about 848.1111459870. Note that the first 4 decimals are identical.

Adding to 610040000 its reverse (40016), we get a palindrome (610080016).

The spelling of 610040000 in words is "six hundred ten million, forty thousand".