1011457160 has 128 divisors (see below), whose sum is σ = 2828805120. Its totient is φ = 317509632.

The previous prime is 1011457159. The next prime is 1011457193. The reversal of 1011457160 is 617541101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173249 + ... + 178991.

It is an arithmetic number, because the mean of its divisors is an integer number (22100040).

Almost surely, 2^1011457160 is an apocalyptic number.

1011457160 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 1011457160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414402560).

1011457160 is an abundant number, since it is smaller than the sum of its proper divisors (1817347960).

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

1011457160 is a wasteful number, since it uses less digits than its factorization.

1011457160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 1011457160 is about 31803.4142821176. The cubic root of 1011457160 is about 1003.8045602977.

Adding to 1011457160 its reverse (617541101), we get a palindrome (1628998261).

The spelling of 1011457160 in words is "one billion, eleven million, four hundred fifty-seven thousand, one hundred sixty".