1066640000 has 160 divisors (see below), whose sum is σ = 2708508000. Its totient is φ = 418176000.

The previous prime is 1066639967. The next prime is 1066640009. The reversal of 1066640000 is 466601.

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

It is a super-2 number, since 2×1066640000² = 2275441779200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066640009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5359901 + ... + 5360099.

It is an arithmetic number, because the mean of its divisors is an integer number (16928175).

Almost surely, 2^1066640000 is an apocalyptic number.

1066640000 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 1066640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354254000).

1066640000 is an abundant number, since it is smaller than the sum of its proper divisors (1641868000).

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

1066640000 is an frugal number, since it uses more digits than its factorization.

1066640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1066640000 is about 32659.4549862670. The cubic root of 1066640000 is about 1021.7373952379.

The spelling of 1066640000 in words is "one billion, sixty-six million, six hundred forty thousand".