1006896880 has 80 divisors (see below), whose sum is σ = 2561443200. Its totient is φ = 365057280.

The previous prime is 1006896871. The next prime is 1006896883. The reversal of 1006896880 is 886986001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1006896880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006896883) 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 15 ways as a sum of consecutive naturals, for example, 332011 + ... + 335029.

It is an arithmetic number, because the mean of its divisors is an integer number (32018040).

Almost surely, 2^1006896880 is an apocalyptic number.

1006896880 is a gapful number since it is divisible by the number (10) 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 1006896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280721600).

1006896880 is an abundant number, since it is smaller than the sum of its proper divisors (1554546320).

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

1006896880 is a wasteful number, since it uses less digits than its factorization.

1006896880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1006896880 is about 31731.6384701452. The cubic root of 1006896880 is about 1002.2936949411.

The spelling of 1006896880 in words is "one billion, six million, eight hundred ninety-six thousand, eight hundred eighty".