1011611160 has 128 divisors (see below), whose sum is σ = 3853785600. Its totient is φ = 231223680.

The previous prime is 1011611123. The next prime is 1011611171. The reversal of 1011611160 is 611161101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 59346 + ... + 74465.

It is an arithmetic number, because the mean of its divisors is an integer number (30107700).

Almost surely, 2^1011611160 is an apocalyptic number.

1011611160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011611160 is an abundant number, since it is smaller than the sum of its proper divisors (2842174440).

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

1011611160 is a wasteful number, since it uses less digits than its factorization.

1011611160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133838 (or 133828 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1011611160 is about 31805.8353136653. The cubic root of 1011611160 is about 1003.8555026620.

Adding to 1011611160 its reverse (611161101), we get a palindrome (1622772261).

It can be divided in two parts, 1011 and 611160, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 1011611160 in words is "one billion, eleven million, six hundred eleven thousand, one hundred sixty".