1001009160 has 96 divisors (see below), whose sum is σ = 3262910040. Its totient is φ = 266145792.

The previous prime is 1001009143. The next prime is 1001009161. The reversal of 1001009160 is 619001001.

It can be written as a sum of positive squares in 4 ways, for example, as 582643044 + 418366116 = 24138^2 + 20454^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1001009161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123142 + ... + 131018.

Almost surely, 2^1001009160 is an apocalyptic number.

1001009160 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 1001009160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631455020).

1001009160 is an abundant number, since it is smaller than the sum of its proper divisors (2261900880).

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

1001009160 is a wasteful number, since it uses less digits than its factorization.

1001009160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1001009160 is about 31638.7287987365. The cubic root of 1001009160 is about 1000.3362735741.

The spelling of 1001009160 in words is "one billion, one million, nine thousand, one hundred sixty".