1006284800 has 156 divisors (see below), whose sum is σ = 2583900096. Its totient is φ = 388300800.

The previous prime is 1006284787. The next prime is 1006284803. The reversal of 1006284800 is 84826001.

1006284800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006284800² = 2025218197422080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006284803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3174242 + ... + 3174558.

Almost surely, 2^1006284800 is an apocalyptic number.

1006284800 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 1006284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291950048).

1006284800 is an abundant number, since it is smaller than the sum of its proper divisors (1577615296).

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

1006284800 is an equidigital number, since it uses as much as digits as its factorization.

1006284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1006284800 is about 31721.9923712241. The cubic root of 1006284800 is about 1002.0905598473.

The spelling of 1006284800 in words is "one billion, six million, two hundred eighty-four thousand, eight hundred".