1006506016 has 96 divisors (see below), whose sum is σ = 2155507200. Its totient is φ = 461475840.

The previous prime is 1006505993. The next prime is 1006506023. The reversal of 1006506016 is 6106056001.

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, 1697016 + ... + 1697608.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 2^1006506016 is an apocalyptic number.

1006506016 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 1006506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077753600).

1006506016 is an abundant number, since it is smaller than the sum of its proper divisors (1149001184).

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

1006506016 is a wasteful number, since it uses less digits than its factorization.

1006506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1006506016 is about 31725.4789719556. The cubic root of 1006506016 is about 1002.1639857876.

The spelling of 1006506016 in words is "one billion, six million, five hundred six thousand, sixteen".