1006634496 has 160 divisors (see below), whose sum is σ = 3085302528. Its totient is φ = 285696000.

The previous prime is 1006634477. The next prime is 1006634507. The reversal of 1006634496 is 6944366001.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2698566 + ... + 2698938.

Almost surely, 2^1006634496 is an apocalyptic number.

1006634496 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 1006634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542651264).

1006634496 is an abundant number, since it is smaller than the sum of its proper divisors (2078668032).

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

1006634496 is an equidigital number, since it uses as much as digits as its factorization.

1006634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1006634496 is about 31727.5037782678. The cubic root of 1006634496 is about 1002.2066258874.

The spelling of 1006634496 in words is "one billion, six million, six hundred thirty-four thousand, four hundred ninety-six".