1012585860 has 576 divisors, whose sum is σ = 3945037824. Its totient is φ = 214617600.

The previous prime is 1012585831. The next prime is 1012585901. The reversal of 1012585860 is 685852101.

1012585860 is a `hidden beast` number, since 1 + 0 + 12 + 585 + 8 + 60 = 666.

1012585860 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21544357 + ... + 21544403.

It is an arithmetic number, because the mean of its divisors is an integer number (6849024).

Almost surely, 2^1012585860 is an apocalyptic number.

1012585860 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 1012585860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972518912).

1012585860 is an abundant number, since it is smaller than the sum of its proper divisors (2932451964).

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

1012585860 is a wasteful number, since it uses less digits than its factorization.

1012585860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1012585860 is about 31821.1542845322. The cubic root of 1012585860 is about 1004.1778082781.

The spelling of 1012585860 in words is "one billion, twelve million, five hundred eighty-five thousand, eight hundred sixty".