610052004 has 144 divisors (see below), whose sum is σ = 1736607600. Its totient is φ = 179601408.

The previous prime is 610051999. The next prime is 610052011. The reversal of 610052004 is 400250016.

It is a happy number.

610052004 is a `hidden beast` number, since 610 + 0 + 52 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2528100 + 607523904 = 1590^2 + 24648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656212 + ... + 657140.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^610052004 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 610052004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868303800).

610052004 is an abundant number, since it is smaller than the sum of its proper divisors (1126555596).

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

610052004 is a wasteful number, since it uses less digits than its factorization.

610052004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 610052004 is about 24699.2308382265. The cubic root of 610052004 is about 848.1167088241.

The spelling of 610052004 in words is "six hundred ten million, fifty-two thousand, four".