1000611144 has 120 divisors (see below), whose sum is σ = 3035141010. Its totient is φ = 307846656.

The previous prime is 1000611137. The next prime is 1000611151. The reversal of 1000611144 is 4411160001.

1000611144 is a `hidden beast` number, since 10 + 0 + 0 + 611 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1000611137) and next prime (1000611151).

It can be written as a sum of positive squares in 3 ways, for example, as 186650244 + 813960900 = 13662^2 + 28530^2 .

It is a super-2 number, since 2×1000611144² = 2002445322993977472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 104944 + ... + 114080.

Almost surely, 2^1000611144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000611144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517570505).

1000611144 is an abundant number, since it is smaller than the sum of its proper divisors (2034529866).

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

1000611144 is a wasteful number, since it uses less digits than its factorization.

1000611144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1000611144 is about 31632.4381608500. The cubic root of 1000611144 is about 1000.2036731811.

Adding to 1000611144 its reverse (4411160001), we get a palindrome (5411771145).

The spelling of 1000611144 in words is "one billion, six hundred eleven thousand, one hundred forty-four".