1046416160 has 96 divisors (see below), whose sum is σ = 2575867392. Its totient is φ = 401264640.

The previous prime is 1046416159. The next prime is 1046416169. The reversal of 1046416160 is 616146401.

1046416160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1046416169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559547 + ... + 561413.

It is an arithmetic number, because the mean of its divisors is an integer number (26831952).

Almost surely, 2^1046416160 is an apocalyptic number.

1046416160 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 1046416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287933696).

1046416160 is an abundant number, since it is smaller than the sum of its proper divisors (1529451232).

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

1046416160 is a wasteful number, since it uses less digits than its factorization.

1046416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1046416160 is about 32348.3563724650. The cubic root of 1046416160 is about 1015.2386571062.

The spelling of 1046416160 in words is "one billion, forty-six million, four hundred sixteen thousand, one hundred sixty".