1012847040 has 336 divisors, whose sum is σ = 3677899680. Its totient is φ = 255467520.

The previous prime is 1012847009. The next prime is 1012847051. The reversal of 1012847040 is 407482101.

1012847040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012846995 and 1012847013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5595750 + ... + 5595930.

It is an arithmetic number, because the mean of its divisors is an integer number (10946130).

Almost surely, 2^1012847040 is an apocalyptic number.

1012847040 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 1012847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838949840).

1012847040 is an abundant number, since it is smaller than the sum of its proper divisors (2665052640).

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

1012847040 is a wasteful number, since it uses less digits than its factorization.

1012847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1012847040 is about 31825.2578936919. The cubic root of 1012847040 is about 1004.2641379495.

The spelling of 1012847040 in words is "one billion, twelve million, eight hundred forty-seven thousand, forty".