1006480800 has 216 divisors, whose sum is σ = 3822466284. Its totient is φ = 247726080.

The previous prime is 1006480799. The next prime is 1006480807. The reversal of 1006480800 is 80846001.

1006480800 is a `hidden beast` number, since 10 + 0 + 648 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 442513296 + 563967504 = 21036^2 + 23748^2 .

It is not an unprimeable number, because it can be changed into a prime (1006480807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88224 + ... + 98976.

Almost surely, 2^1006480800 is an apocalyptic number.

1006480800 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 1006480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911233142).

1006480800 is an abundant number, since it is smaller than the sum of its proper divisors (2815985484).

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

1006480800 is a wasteful number, since it uses less digits than its factorization.

1006480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10776 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1006480800 is about 31725.0815601788. The cubic root of 1006480800 is about 1002.1556166447.

The spelling of 1006480800 in words is "one billion, six million, four hundred eighty thousand, eight hundred".