1071284872 has 64 divisors (see below), whose sum is σ = 2348236800. Its totient is φ = 448718400.

The previous prime is 1071284833. The next prime is 1071284899. The reversal of 1071284872 is 2784821701.

1071284872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1071284872³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454497 + ... + 456847.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^1071284872 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 1071284872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174118400).

1071284872 is an abundant number, since it is smaller than the sum of its proper divisors (1276951928).

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

1071284872 is a wasteful number, since it uses less digits than its factorization.

1071284872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 1071284872 is about 32730.4884167652. The cubic root of 1071284872 is about 1023.2183595030.

The spelling of 1071284872 in words is "one billion, seventy-one million, two hundred eighty-four thousand, eight hundred seventy-two".