1006755840 has 168 divisors, whose sum is σ = 3491151768. Its totient is φ = 268369920.

The previous prime is 1006755833. The next prime is 1006755853. The reversal of 1006755840 is 485576001.

1006755840 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 75 + 584 + 0 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1006755795 and 1006755804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367275 + ... + 370005.

Almost surely, 2^1006755840 is an apocalyptic number.

1006755840 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 1006755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745575884).

1006755840 is an abundant number, since it is smaller than the sum of its proper divisors (2484395928).

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

1006755840 is an equidigital number, since it uses as much as digits as its factorization.

1006755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1006755840 is about 31729.4160047108. The cubic root of 1006755840 is about 1002.2468943513.

The spelling of 1006755840 in words is "one billion, six million, seven hundred fifty-five thousand, eight hundred forty".