1066605840 has 320 divisors, whose sum is σ = 4019742720. Its totient is φ = 258785280.

The previous prime is 1066605821. The next prime is 1066605899. The reversal of 1066605840 is 485066601.

1066605840 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-2 number, since 2×1066605840² = 2275296035844211200, 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 = 1066605795 and 1066605804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137852 + ... + 1138788.

It is an arithmetic number, because the mean of its divisors is an integer number (12561696).

Almost surely, 2^1066605840 is an apocalyptic number.

1066605840 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 1066605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009871360).

1066605840 is an abundant number, since it is smaller than the sum of its proper divisors (2953136880).

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

1066605840 is a wasteful number, since it uses less digits than its factorization.

1066605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1066605840 is about 32658.9320094825. The cubic root of 1066605840 is about 1021.7264878020.

The spelling of 1066605840 in words is "one billion, sixty-six million, six hundred five thousand, eight hundred forty".