1006793984 has 108 divisors (see below), whose sum is σ = 2368374624. Its totient is φ = 425843712.

The previous prime is 1006793971. The next prime is 1006793993. The reversal of 1006793984 is 4893976001.

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, 1040669 + ... + 1041635.

Almost surely, 2^1006793984 is an apocalyptic number.

1006793984 is a gapful number since it is divisible by the number (14) 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 1006793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184187312).

1006793984 is an abundant number, since it is smaller than the sum of its proper divisors (1361580640).

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

1006793984 is an frugal number, since it uses more digits than its factorization.

1006793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 1006793984 is about 31730.0170816216. The cubic root of 1006793984 is about 1002.2595519130.

The spelling of 1006793984 in words is "one billion, six million, seven hundred ninety-three thousand, nine hundred eighty-four".