1011278660 has 144 divisors (see below), whose sum is σ = 2646021168. Its totient is φ = 322560000.

The previous prime is 1011278623. The next prime is 1011278663. The reversal of 1011278660 is 668721101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 282710596 + 728568064 = 16814^2 + 26992^2 .

It is not an unprimeable number, because it can be changed into a prime (1011278663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682360 + ... + 1682960.

It is an arithmetic number, because the mean of its divisors is an integer number (18375147).

Almost surely, 2^1011278660 is an apocalyptic number.

1011278660 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 1011278660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323010584).

1011278660 is an abundant number, since it is smaller than the sum of its proper divisors (1634742508).

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

1011278660 is a wasteful number, since it uses less digits than its factorization.

1011278660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 1011278660 is about 31800.6078558256. The cubic root of 1011278660 is about 1003.7455069957.

Adding to 1011278660 its reverse (668721101), we get a palindrome (1679999761).

The spelling of 1011278660 in words is "one billion, eleven million, two hundred seventy-eight thousand, six hundred sixty".