1001160160 has 576 divisors, whose sum is σ = 3474938880. Its totient is φ = 267079680.

The previous prime is 1001160151. The next prime is 1001160161. The reversal of 1001160160 is 610611001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001160161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21301257 + ... + 21301303.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^1001160160 is an apocalyptic number.

1001160160 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 1001160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

1001160160 is an abundant number, since it is smaller than the sum of its proper divisors (2473778720).

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

1001160160 is a wasteful number, since it uses less digits than its factorization.

1001160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1001160160 is about 31641.1150246005. The cubic root of 1001160160 is about 1000.3865705440.

Adding to 1001160160 its reverse (610611001), we get a palindrome (1611771161).

It can be divided in two parts, 1001 and 160160, that added together give a palindrome (161161).

The spelling of 1001160160 in words is "one billion, one million, one hundred sixty thousand, one hundred sixty".