1005812416 has 84 divisors (see below), whose sum is σ = 2330958000. Its totient is φ = 429359616.

The previous prime is 1005812411. The next prime is 1005812447. The reversal of 1005812416 is 6142185001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1005812411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1094005 + ... + 1094923.

It is an arithmetic number, because the mean of its divisors is an integer number (27749500).

Almost surely, 2^1005812416 is an apocalyptic number.

1005812416 is a gapful number since it is divisible by the number (16) 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 1005812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165479000).

1005812416 is an abundant number, since it is smaller than the sum of its proper divisors (1325145584).

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

1005812416 is an equidigital number, since it uses as much as digits as its factorization.

1005812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1005812416 is about 31714.5458110313. The cubic root of 1005812416 is about 1001.9337302769.

Adding to 1005812416 its reverse (6142185001), we get a palindrome (7147997417).

The spelling of 1005812416 in words is "one billion, five million, eight hundred twelve thousand, four hundred sixteen".