1160800890 has 64 divisors (see below), whose sum is σ = 2895436800. Its totient is φ = 297515520.

The previous prime is 1160800853. The next prime is 1160800891. The reversal of 1160800890 is 980080611.

It is not an unprimeable number, because it can be changed into a prime (1160800891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134382 + ... + 142758.

It is an arithmetic number, because the mean of its divisors is an integer number (45241200).

Almost surely, 2^1160800890 is an apocalyptic number.

1160800890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160800890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447718400).

1160800890 is an abundant number, since it is smaller than the sum of its proper divisors (1734635910).

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

1160800890 is a wasteful number, since it uses less digits than its factorization.

1160800890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567.

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1160800890 is about 34070.5281731880. The cubic root of 1160800890 is about 1050.9593318569.

The spelling of 1160800890 in words is "one billion, one hundred sixty million, eight hundred thousand, eight hundred ninety".