1042032960 has 336 divisors, whose sum is σ = 3827678400. Its totient is φ = 259448832.

The previous prime is 1042032949. The next prime is 1042033001. The reversal of 1042032960 is 692302401.

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, 7496571 + ... + 7496709.

It is an arithmetic number, because the mean of its divisors is an integer number (11391900).

Almost surely, 2^1042032960 is an apocalyptic number.

1042032960 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 1042032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913839200).

1042032960 is an abundant number, since it is smaller than the sum of its proper divisors (2785645440).

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

1042032960 is a wasteful number, since it uses less digits than its factorization.

1042032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1042032960 is about 32280.5353115465. The cubic root of 1042032960 is about 1013.8191384066.

The spelling of 1042032960 in words is "one billion, forty-two million, thirty-two thousand, nine hundred sixty".