1006128000 has 512 divisors, whose sum is σ = 3952540800. Its totient is φ = 250675200.

The previous prime is 1006127989. The next prime is 1006128023. The reversal of 1006128000 is 8216001.

1006128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343932 + ... + 7344068.

Almost surely, 2^1006128000 is an apocalyptic number.

1006128000 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 1006128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976270400).

1006128000 is an abundant number, since it is smaller than the sum of its proper divisors (2946412800).

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

1006128000 is a wasteful number, since it uses less digits than its factorization.

1006128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1006128000 is about 31719.5208034422. The cubic root of 1006128000 is about 1002.0385083268.

The spelling of 1006128000 in words is "one billion, six million, one hundred twenty-eight thousand".