1006790976 has 84 divisors (see below), whose sum is σ = 2908718592. Its totient is φ = 332930304.

The previous prime is 1006790963. The next prime is 1006790989. The reversal of 1006790976 is 6790976001.

It is an interprime number because it is at equal distance from previous prime (1006790963) and next prime (1006790989).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66271 + ... + 80033.

Almost surely, 2^1006790976 is an apocalyptic number.

1006790976 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 1006790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454359296).

1006790976 is an abundant number, since it is smaller than the sum of its proper divisors (1901927616).

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

1006790976 is a wasteful number, since it uses less digits than its factorization.

1006790976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1006790976 is about 31729.9696816748. The cubic root of 1006790976 is about 1002.2585537612.

The spelling of 1006790976 in words is "one billion, six million, seven hundred ninety thousand, nine hundred seventy-six".