1006656000 has 480 divisors, whose sum is σ = 3929694912. Its totient is φ = 227942400.

The previous prime is 1006655987. The next prime is 1006656029. The reversal of 1006656000 is 6566001.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9407947 + ... + 9408053.

Almost surely, 2^1006656000 is an apocalyptic number.

1006656000 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 1006656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964847456).

1006656000 is an abundant number, since it is smaller than the sum of its proper divisors (2923038912).

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

1006656000 is an equidigital number, since it uses as much as digits as its factorization.

1006656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1006656000 is about 31727.8426622423. The cubic root of 1006656000 is about 1002.2137623068.

It can be divided in two parts, 10066 and 56000, that added together give a palindrome (66066).

The spelling of 1006656000 in words is "one billion, six million, six hundred fifty-six thousand".