1011144960 has 216 divisors, whose sum is σ = 3998554560. Its totient is φ = 231100416.

The previous prime is 1011144889. The next prime is 1011144961. The reversal of 1011144960 is 694411101.

It is not an unprimeable number, because it can be changed into a prime (1011144961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74371 + ... + 86909.

Almost surely, 2^1011144960 is an apocalyptic number.

1011144960 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 1011144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999277280).

1011144960 is an abundant number, since it is smaller than the sum of its proper divisors (2987409600).

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

1011144960 is a wasteful number, since it uses less digits than its factorization.

1011144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1011144960 is about 31798.5056252648. The cubic root of 1011144960 is about 1003.7012703626.

The spelling of 1011144960 in words is "one billion, eleven million, one hundred forty-four thousand, nine hundred sixty".