1068566400 has 288 divisors, whose sum is σ = 4160749320. Its totient is φ = 258969600.

The previous prime is 1068566381. The next prime is 1068566413. The reversal of 1068566400 is 46658601.

1068566400 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1068566400² = 2283668302417920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315114 + ... + 318486.

Almost surely, 2^1068566400 is an apocalyptic number.

1068566400 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 1068566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080374660).

1068566400 is an abundant number, since it is smaller than the sum of its proper divisors (3092182920).

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

1068566400 is a wasteful number, since it uses less digits than its factorization.

1068566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1068566400 is about 32688.9339073638. The cubic root of 1068566400 is about 1022.3521265982.

The spelling of 1068566400 in words is "one billion, sixty-eight million, five hundred sixty-six thousand, four hundred".