1042896960 has 504 divisors, whose sum is σ = 4379244480. Its totient is φ = 223100928.

The previous prime is 1042896917. The next prime is 1042896971. The reversal of 1042896960 is 696982401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5826151 + ... + 5826329.

Almost surely, 2^1042896960 is an apocalyptic number.

1042896960 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 1042896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189622240).

1042896960 is an abundant number, since it is smaller than the sum of its proper divisors (3336347520).

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

1042896960 is a wasteful number, since it uses less digits than its factorization.

1042896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1042896960 is about 32293.9152163376. The cubic root of 1042896960 is about 1014.0992631838.

The spelling of 1042896960 in words is "one billion, forty-two million, eight hundred ninety-six thousand, nine hundred sixty".