1005006120 has 64 divisors (see below), whose sum is σ = 3031741440. Its totient is φ = 266515200.

The previous prime is 1005006113. The next prime is 1005006127. The reversal of 1005006120 is 216005001.

It is an interprime number because it is at equal distance from previous prime (1005006113) and next prime (1005006127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005006120.

It is not an unprimeable number, because it can be changed into a prime (1005006127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416 + ... + 44855.

It is an arithmetic number, because the mean of its divisors is an integer number (47370960).

Almost surely, 2^1005006120 is an apocalyptic number.

1005006120 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 1005006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515870720).

1005006120 is an abundant number, since it is smaller than the sum of its proper divisors (2026735320).

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

1005006120 is a wasteful number, since it uses less digits than its factorization.

1005006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46466 (or 46462 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1005006120 is about 31701.8314928333. The cubic root of 1005006120 is about 1001.6659298034.

The spelling of 1005006120 in words is "one billion, five million, six thousand, one hundred twenty".