1066829880 has 128 divisors (see below), whose sum is σ = 3303938880. Its totient is φ = 275374080.

The previous prime is 1066829851. The next prime is 1066829891. The reversal of 1066829880 is 889286601.

1066829880 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 2×1066829880² = 2276251985721628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069542 + ... + 1070538.

Almost surely, 2^1066829880 is an apocalyptic number.

1066829880 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 1066829880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651969440).

1066829880 is an abundant number, since it is smaller than the sum of its proper divisors (2237109000).

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

1066829880 is a wasteful number, since it uses less digits than its factorization.

1066829880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1066829880 is about 32662.3618251957. The cubic root of 1066829880 is about 1021.7980204990.

The spelling of 1066829880 in words is "one billion, sixty-six million, eight hundred twenty-nine thousand, eight hundred eighty".