610000040 has 64 divisors (see below), whose sum is σ = 1488186000. Its totient is φ = 223690752.

The previous prime is 610000003. The next prime is 610000049. The reversal of 610000040 is 40000016.

610000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8836 + 609991204 = 94^2 + 24698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 609999976 and 610000030.

It is not an unprimeable number, because it can be changed into a prime (610000049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73544 + ... + 81416.

Almost surely, 2^610000040 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 610000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744093000).

610000040 is an abundant number, since it is smaller than the sum of its proper divisors (878185960).

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

610000040 is a wasteful number, since it uses less digits than its factorization.

610000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8042 counting only the distinct ones).

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

The square root of 610000040 is about 24698.1788802333. The cubic root of 610000040 is about 848.0926273864.

Subtracting from 610000040 its product of nonzero digits (24), we obtain a palindrome (610000016).

Adding to 610000040 its reverse (40000016), we get a palindrome (650000056).

The spelling of 610000040 in words is "six hundred ten million, forty", and thus it is an aban number.