1000604160 has 240 divisors, whose sum is σ = 3501679896. Its totient is φ = 264044544.

The previous prime is 1000604159. The next prime is 1000604161. The reversal of 1000604160 is 614060001.

1000604160 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 604 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1000604159) and next prime (1000604161).

It can be written as a sum of positive squares in 4 ways, for example, as 592240896 + 408363264 = 24336^2 + 20208^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1000604161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156322 + ... + 3156638.

Almost surely, 2^1000604160 is an apocalyptic number.

1000604160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750839948).

1000604160 is an abundant number, since it is smaller than the sum of its proper divisors (2501075736).

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

1000604160 is a wasteful number, since it uses less digits than its factorization.

1000604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1000604160 is about 31632.3277676493. The cubic root of 1000604160 is about 1000.2013461237.

Adding to 1000604160 its reverse (614060001), we get a palindrome (1614664161).

It can be divided in two parts, 10006041 and 60, that added together give a triangular number (10006101 = T₄₄₇₃).

The spelling of 1000604160 in words is "one billion, six hundred four thousand, one hundred sixty".