1006848000 has 576 divisors, whose sum is σ = 3986236800. Its totient is φ = 243302400.

The previous prime is 1006847993. The next prime is 1006848041. The reversal of 1006848000 is 8486001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 43775989 + ... + 43776011.

It is an arithmetic number, because the mean of its divisors is an integer number (6920550).

Almost surely, 2^1006848000 is an apocalyptic number.

1006848000 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 1006848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993118400).

1006848000 is an abundant number, since it is smaller than the sum of its proper divisors (2979388800).

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

1006848000 is a wasteful number, since it uses less digits than its factorization.

1006848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

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

The square root of 1006848000 is about 31730.8682515937. The cubic root of 1006848000 is about 1002.2774758328.

The spelling of 1006848000 in words is "one billion, six million, eight hundred forty-eight thousand".