1047938160 has 160 divisors (see below), whose sum is σ = 3464064000. Its totient is φ = 261301248.

The previous prime is 1047938153. The next prime is 1047938197. The reversal of 1047938160 is 618397401.

1047938160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358786 + ... + 361694.

It is an arithmetic number, because the mean of its divisors is an integer number (21650400).

Almost surely, 2^1047938160 is an apocalyptic number.

1047938160 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 1047938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732032000).

1047938160 is an abundant number, since it is smaller than the sum of its proper divisors (2416125840).

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

1047938160 is a wasteful number, since it uses less digits than its factorization.

1047938160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1047938160 is about 32371.8729763973. The cubic root of 1047938160 is about 1015.7306362202.

The spelling of 1047938160 in words is "one billion, forty-seven million, nine hundred thirty-eight thousand, one hundred sixty".