1042832000 has 128 divisors (see below), whose sum is σ = 2963450880. Its totient is φ = 357504000.

The previous prime is 1042831997. The next prime is 1042832023. The reversal of 1042832000 is 2382401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107345 + ... + 116655.

It is an arithmetic number, because the mean of its divisors is an integer number (23151960).

Almost surely, 2^1042832000 is an apocalyptic number.

1042832000 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 1042832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481725440).

1042832000 is an abundant number, since it is smaller than the sum of its proper divisors (1920618880).

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

1042832000 is an frugal number, since it uses more digits than its factorization.

1042832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1042832000 is about 32292.9094384510. The cubic root of 1042832000 is about 1014.0782073306.

The spelling of 1042832000 in words is "one billion, forty-two million, eight hundred thirty-two thousand".