1006661040 has 640 divisors, whose sum is σ = 4251156480. Its totient is φ = 190771200.

The previous prime is 1006661039. The next prime is 1006661063. The reversal of 1006661040 is 401666001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1006661040.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16502610 + ... + 16502670.

It is an arithmetic number, because the mean of its divisors is an integer number (6642432).

Almost surely, 2^1006661040 is an apocalyptic number.

1006661040 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 1006661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125578240).

1006661040 is an abundant number, since it is smaller than the sum of its proper divisors (3244495440).

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

1006661040 is a wasteful number, since it uses less digits than its factorization.

1006661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1006661040 is about 31727.9220876502. The cubic root of 1006661040 is about 1002.2154348903.

The spelling of 1006661040 in words is "one billion, six million, six hundred sixty-one thousand, forty".