1071066240 has 384 divisors, whose sum is σ = 3929627520. Its totient is φ = 278691840.

The previous prime is 1071066209. The next prime is 1071066253. The reversal of 1071066240 is 426601701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1071066240² = 2294365780935475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11041872 + ... + 11041968.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2^1071066240 is an apocalyptic number.

1071066240 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 1071066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964813760).

1071066240 is an abundant number, since it is smaller than the sum of its proper divisors (2858561280).

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

1071066240 is an frugal number, since it uses more digits than its factorization.

1071066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1071066240 is about 32727.1483634001. The cubic root of 1071066240 is about 1023.1487473011.

Adding to 1071066240 its reverse (426601701), we get a palindrome (1497667941).

The spelling of 1071066240 in words is "one billion, seventy-one million, sixty-six thousand, two hundred forty".