1006985856 has 64 divisors (see below), whose sum is σ = 2684746080. Its totient is φ = 334414848.

The previous prime is 1006985737. The next prime is 1006985887. The reversal of 1006985856 is 6585896001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101635 + ... + 111101.

Almost surely, 2^1006985856 is an apocalyptic number.

1006985856 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 1006985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342373040).

1006985856 is an abundant number, since it is smaller than the sum of its proper divisors (1677760224).

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

1006985856 is an equidigital number, since it uses as much as digits as its factorization.

1006985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 1006985856 is about 31733.0404468277. The cubic root of 1006985856 is about 1002.3232171490.

The spelling of 1006985856 in words is "one billion, six million, nine hundred eighty-five thousand, eight hundred fifty-six".