1006559840 has 384 divisors, whose sum is σ = 3040571520. Its totient is φ = 309657600.

The previous prime is 1006559831. The next prime is 1006559861. The reversal of 1006559840 is 489556001.

It is a junction number, because it is equal to n+sod(n) for n = 1006559794 and 1006559803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24550220 + ... + 24550260.

It is an arithmetic number, because the mean of its divisors is an integer number (7918155).

Almost surely, 2^1006559840 is an apocalyptic number.

1006559840 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 1006559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

1006559840 is an abundant number, since it is smaller than the sum of its proper divisors (2034011680).

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

1006559840 is a wasteful number, since it uses less digits than its factorization.

1006559840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 1006559840 is about 31726.3272378005. The cubic root of 1006559840 is about 1002.1818494043.

The spelling of 1006559840 in words is "one billion, six million, five hundred fifty-nine thousand, eight hundred forty".