1047096960 has 384 divisors, whose sum is σ = 4139372160. Its totient is φ = 220446720.

The previous prime is 1047096959. The next prime is 1047096977. The reversal of 1047096960 is 696907401.

1047096960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2271130 + ... + 2271590.

It is an arithmetic number, because the mean of its divisors is an integer number (10779615).

Almost surely, 2^1047096960 is an apocalyptic number.

1047096960 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 1047096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069686080).

1047096960 is an abundant number, since it is smaller than the sum of its proper divisors (3092275200).

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

1047096960 is a wasteful number, since it uses less digits than its factorization.

1047096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1047096960 is about 32358.8776072348. The cubic root of 1047096960 is about 1015.4587813312.

The spelling of 1047096960 in words is "one billion, forty-seven million, ninety-six thousand, nine hundred sixty".