1066318400 has 336 divisors, whose sum is σ = 3212592000. Its totient is φ = 347719680.

The previous prime is 1066318397. The next prime is 1066318403. The reversal of 1066318400 is 48136601.

It is an interprime number because it is at equal distance from previous prime (1066318397) and next prime (1066318403).

It is a super-2 number, since 2×1066318400² = 2274069860357120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066318403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15915167 + ... + 15915233.

Almost surely, 2^1066318400 is an apocalyptic number.

1066318400 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 1066318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606296000).

1066318400 is an abundant number, since it is smaller than the sum of its proper divisors (2146273600).

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

1066318400 is an equidigital number, since it uses as much as digits as its factorization.

1066318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1066318400 is about 32654.5310791627. The cubic root of 1066318400 is about 1021.6346977404.

1066318400 divided by its sum of digits (29) gives a triangular number (36769600 = T₈₅₇₅).

The spelling of 1066318400 in words is "one billion, sixty-six million, three hundred eighteen thousand, four hundred".