1006056640 has 112 divisors (see below), whose sum is σ = 2540715264. Its totient is φ = 378777600.

The previous prime is 1006056607. The next prime is 1006056641. The reversal of 1006056640 is 466506001.

It is a junction number, because it is equal to n+sod(n) for n = 1006056599 and 1006056608.

It is not an unprimeable number, because it can be changed into a prime (1006056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365670 + ... + 368410.

Almost surely, 2^1006056640 is an apocalyptic number.

1006056640 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 1006056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270357632).

1006056640 is an abundant number, since it is smaller than the sum of its proper divisors (1534658624).

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

1006056640 is a wasteful number, since it uses less digits than its factorization.

1006056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1006056640 is about 31718.3959241321. The cubic root of 1006056640 is about 1002.0148177829.

The spelling of 1006056640 in words is "one billion, six million, fifty-six thousand, six hundred forty".