1005850560 has 448 divisors, whose sum is σ = 3981809664. Its totient is φ = 211353600.

The previous prime is 1005850553. The next prime is 1005850561. The reversal of 1005850560 is 650585001.

It is a happy number.

1005850560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005850561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333545 + ... + 2333975.

It is an arithmetic number, because the mean of its divisors is an integer number (8887968).

Almost surely, 2^1005850560 is an apocalyptic number.

1005850560 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 1005850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990904832).

1005850560 is an abundant number, since it is smaller than the sum of its proper divisors (2975959104).

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

1005850560 is a wasteful number, since it uses less digits than its factorization.

1005850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 1005850560 is about 31715.1471697673. The cubic root of 1005850560 is about 1001.9463957523.

The spelling of 1005850560 in words is "one billion, five million, eight hundred fifty thousand, five hundred sixty".