1066338000 has 960 divisors, whose sum is σ = 4939683840. Its totient is φ = 217728000.

The previous prime is 1066337989. The next prime is 1066338017. The reversal of 1066338000 is 8336601.

1066338000 = 295³ + 296³ + ... + 329³.

It is a super-2 number, since 2×1066338000² = 2274153460488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34397985 + ... + 34398015.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^1066338000 is an apocalyptic number.

1066338000 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 1066338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469841920).

1066338000 is an abundant number, since it is smaller than the sum of its proper divisors (3873345840).

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

1066338000 is a wasteful number, since it uses less digits than its factorization.

1066338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1066338000 is about 32654.8311892743. The cubic root of 1066338000 is about 1021.6409572583.

The spelling of 1066338000 in words is "one billion, sixty-six million, three hundred thirty-eight thousand".