1071944640 has 168 divisors, whose sum is σ = 3970800288. Its totient is φ = 263854080.

The previous prime is 1071944633. The next prime is 1071944659. The reversal of 1071944640 is 464491701.

1071944640 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 9 + 4 + 4 + 640 = 666.

It is a super-2 number, since 2×1071944640² = 2298130622449459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1071944595 and 1071944604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23125 + ... + 51755.

It is an arithmetic number, because the mean of its divisors is an integer number (23635716).

Almost surely, 2^1071944640 is an apocalyptic number.

1071944640 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 1071944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985400144).

1071944640 is an abundant number, since it is smaller than the sum of its proper divisors (2898855648).

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

1071944640 is a wasteful number, since it uses less digits than its factorization.

1071944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28667 (or 28654 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1071944640 is about 32740.5656640199. The cubic root of 1071944640 is about 1023.4283715512.

The spelling of 1071944640 in words is "one billion, seventy-one million, nine hundred forty-four thousand, six hundred forty".