1160390016 has 128 divisors (see below), whose sum is σ = 3535564800. Its totient is φ = 374284800.

The previous prime is 1160389973. The next prime is 1160390017. The reversal of 1160390016 is 6100930611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160390017) 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, 101721 + ... + 112551.

It is an arithmetic number, because the mean of its divisors is an integer number (27621600).

Almost surely, 2^1160390016 is an apocalyptic number.

1160390016 is a gapful number since it is divisible by the number (16) 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 1160390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767782400).

1160390016 is an abundant number, since it is smaller than the sum of its proper divisors (2375174784).

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

1160390016 is a wasteful number, since it uses less digits than its factorization.

1160390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1160390016 is about 34064.4978826931. The cubic root of 1160390016 is about 1050.8353189660.

The spelling of 1160390016 in words is "one billion, one hundred sixty million, three hundred ninety thousand, sixteen".