1006506496 has 80 divisors (see below), whose sum is σ = 2118150144. Its totient is φ = 476872704.

The previous prime is 1006506409. The next prime is 1006506497. The reversal of 1006506496 is 6946056001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006506497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495216 + ... + 1495888.

Almost surely, 2^1006506496 is an apocalyptic number.

1006506496 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 1006506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059075072).

1006506496 is an abundant number, since it is smaller than the sum of its proper divisors (1111643648).

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

1006506496 is an equidigital number, since it uses as much as digits as its factorization.

1006506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 1006506496 is about 31725.4865368524. The cubic root of 1006506496 is about 1002.1641450974.

The spelling of 1006506496 in words is "one billion, six million, five hundred six thousand, four hundred ninety-six".