1066315720 has 128 divisors (see below), whose sum is σ = 2628172800. Its totient is φ = 387991296.

The previous prime is 1066315661. The next prime is 1066315721. The reversal of 1066315720 is 275136601.

It is a super-2 number, since 2×1066315720² = 2274058429438236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066315721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189317 + ... + 2189803.

It is an arithmetic number, because the mean of its divisors is an integer number (20532600).

Almost surely, 2^1066315720 is an apocalyptic number.

1066315720 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 1066315720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314086400).

1066315720 is an abundant number, since it is smaller than the sum of its proper divisors (1561857080).

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

1066315720 is a wasteful number, since it uses less digits than its factorization.

1066315720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1066315720 is about 32654.4900434841. The cubic root of 1066315720 is about 1021.6338418412.

The spelling of 1066315720 in words is "one billion, sixty-six million, three hundred fifteen thousand, seven hundred twenty".