1063468800 has 324 divisors, whose sum is σ = 3912727000. Its totient is φ = 275374080.

The previous prime is 1063468789. The next prime is 1063468801. The reversal of 1063468800 is 88643601.

It is a happy number.

1063468800 is a `hidden beast` number, since 10 + 634 + 6 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1063468800² = 2261931777146880000, 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 not an unprimeable number, because it can be changed into a prime (1063468801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2130951 + ... + 2131449.

Almost surely, 2^1063468800 is an apocalyptic number.

1063468800 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 1063468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956363500).

1063468800 is an abundant number, since it is smaller than the sum of its proper divisors (2849258200).

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

1063468800 is a wasteful number, since it uses less digits than its factorization.

1063468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1063468800 is about 32610.8693536373. The cubic root of 1063468800 is about 1020.7238230252.

The spelling of 1063468800 in words is "one billion, sixty-three million, four hundred sixty-eight thousand, eight hundred".