1066750400 has 84 divisors (see below), whose sum is σ = 2650766352. Its totient is φ = 422492160.

The previous prime is 1066750381. The next prime is 1066750411. The reversal of 1066750400 is 40576601.

1066750400 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 2×1066750400² = 2275912831800320000, 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 11 ways as a sum of consecutive naturals, for example, 161564 + ... + 168036.

Almost surely, 2^1066750400 is an apocalyptic number.

1066750400 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 1066750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325383176).

1066750400 is an abundant number, since it is smaller than the sum of its proper divisors (1584015952).

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

1066750400 is a wasteful number, since it uses less digits than its factorization.

1066750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1066750400 is about 32661.1451115848. The cubic root of 1066750400 is about 1021.7726448432.

The spelling of 1066750400 in words is "one billion, sixty-six million, seven hundred fifty thousand, four hundred".