1066958640 has 360 divisors, whose sum is σ = 4057229904. Its totient is φ = 250905600.

The previous prime is 1066958639. The next prime is 1066958663. The reversal of 1066958640 is 468596601.

1066958640 is a `hidden beast` number, since 1 + 0 + 6 + 69 + 586 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1066958640² = 2276801478941299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3223275 + ... + 3223605.

Almost surely, 2^1066958640 is an apocalyptic number.

1066958640 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 1066958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028614952).

1066958640 is an abundant number, since it is smaller than the sum of its proper divisors (2990271264).

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

1066958640 is a wasteful number, since it uses less digits than its factorization.

1066958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1066958640 is about 32664.3328418016. The cubic root of 1066958640 is about 1021.8391271530.

The spelling of 1066958640 in words is "one billion, sixty-six million, nine hundred fifty-eight thousand, six hundred forty".