1006736496 has 40 divisors (see below), whose sum is σ = 2713814400. Its totient is φ = 320988096.

The previous prime is 1006736491. The next prime is 1006736531. The reversal of 1006736496 is 6946376001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006736491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454846 + ... + 457053.

It is an arithmetic number, because the mean of its divisors is an integer number (67845360).

Almost surely, 2^1006736496 is an apocalyptic number.

1006736496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006736496 is an abundant number, since it is smaller than the sum of its proper divisors (1707077904).

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

1006736496 is a wasteful number, since it uses less digits than its factorization.

1006736496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911933 (or 911927 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 1006736496 is about 31729.1111757011. Note that the first 4 decimals coincide. The cubic root of 1006736496 is about 1002.2404751887.

The spelling of 1006736496 in words is "one billion, six million, seven hundred thirty-six thousand, four hundred ninety-six".