610005006 has 80 divisors (see below), whose sum is σ = 1481870544. Its totient is φ = 186437376.

The previous prime is 610005001. The next prime is 610005017. The reversal of 610005006 is 600500016.

610005006 is a `hidden beast` number, since 610 + 0 + 0 + 50 + 0 + 6 = 666.

It is a super-2 number, since 2×610005006² = 744212214690120072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 610005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610005001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342390 + ... + 344166.

Almost surely, 2^610005006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610005006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740935272).

610005006 is an abundant number, since it is smaller than the sum of its proper divisors (871865538).

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

610005006 is a wasteful number, since it uses less digits than its factorization.

610005006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 610005006 is about 24698.2794137567. The cubic root of 610005006 is about 848.0949288160.

The spelling of 610005006 in words is "six hundred ten million, five thousand, six".