1071331840 has 160 divisors (see below), whose sum is σ = 2757680640. Its totient is φ = 397737984.

The previous prime is 1071331831. The next prime is 1071331841. The reversal of 1071331840 is 481331701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1071331840² = 2295503822795571200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071331799 and 1071331808.

It is not an unprimeable number, because it can be changed into a prime (1071331841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482441 + ... + 4482679.

It is an arithmetic number, because the mean of its divisors is an integer number (17235504).

Almost surely, 2^1071331840 is an apocalyptic number.

1071331840 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 1071331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

1071331840 is an abundant number, since it is smaller than the sum of its proper divisors (1686348800).

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

1071331840 is a wasteful number, since it uses less digits than its factorization.

1071331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1071331840 is about 32731.2059050686. The cubic root of 1071331840 is about 1023.2333128296.

The spelling of 1071331840 in words is "one billion, seventy-one million, three hundred thirty-one thousand, eight hundred forty".