1071312384 has 160 divisors (see below), whose sum is σ = 2985523200. Its totient is φ = 340992000.

The previous prime is 1071312371. The next prime is 1071312401. The reversal of 1071312384 is 4832131701.

It is a super-2 number, since 2×1071312384² = 2295420448223526912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7094709 + ... + 7094859.

It is an arithmetic number, because the mean of its divisors is an integer number (18659520).

Almost surely, 2^1071312384 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 1071312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492761600).

1071312384 is an abundant number, since it is smaller than the sum of its proper divisors (1914210816).

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

1071312384 is a wasteful number, since it uses less digits than its factorization.

1071312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1071312384 is about 32730.9086949935. The cubic root of 1071312384 is about 1023.2271186243.

The spelling of 1071312384 in words is "one billion, seventy-one million, three hundred twelve thousand, three hundred eighty-four".