1063378400 has 108 divisors (see below), whose sum is σ = 3019916088. Its totient is φ = 364573440.

The previous prime is 1063378369. The next prime is 1063378411. The reversal of 1063378400 is 48733601.

It is a super-2 number, since 2×1063378400² = 2261547243173120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25637 + ... + 52763.

It is an arithmetic number, because the mean of its divisors is an integer number (27962186).

Almost surely, 2^1063378400 is an apocalyptic number.

1063378400 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 1063378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509958044).

1063378400 is an abundant number, since it is smaller than the sum of its proper divisors (1956537688).

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

1063378400 is a wasteful number, since it uses less digits than its factorization.

1063378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27161 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1063378400 is about 32609.4832832414. The cubic root of 1063378400 is about 1020.6949000490.

The spelling of 1063378400 in words is "one billion, sixty-three million, three hundred seventy-eight thousand, four hundred".