1066526720 has 96 divisors (see below), whose sum is σ = 2924812800. Its totient is φ = 365641728.

The previous prime is 1066526717. The next prime is 1066526723. The reversal of 1066526720 is 276256601.

It is an interprime number because it is at equal distance from previous prime (1066526717) and next prime (1066526723).

It is a super-3 number, since 3×1066526720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1066526723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64241 + ... + 79119.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 2^1066526720 is an apocalyptic number.

1066526720 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 1066526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

1066526720 is an abundant number, since it is smaller than the sum of its proper divisors (1858286080).

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

1066526720 is an equidigital number, since it uses as much as digits as its factorization.

1066526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 1066526720 is about 32657.7206798025. The cubic root of 1066526720 is about 1021.7012235493.

The spelling of 1066526720 in words is "one billion, sixty-six million, five hundred twenty-six thousand, seven hundred twenty".