1063646400 has 336 divisors, whose sum is σ = 3683898144. Its totient is φ = 268369920.

The previous prime is 1063646383. The next prime is 1063646401. The reversal of 1063646400 is 46463601.

It is a super-2 number, since 2×1063646400² = 2262687328465920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1063646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9412744 + ... + 9412856.

Almost surely, 2^1063646400 is an apocalyptic number.

1063646400 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 1063646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841949072).

1063646400 is an abundant number, since it is smaller than the sum of its proper divisors (2620251744).

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

1063646400 is a wasteful number, since it uses less digits than its factorization.

1063646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1063646400 is about 32613.5922584434. The cubic root of 1063646400 is about 1020.7806403826.

The spelling of 1063646400 in words is "one billion, sixty-three million, six hundred forty-six thousand, four hundred".