1068554400 has 144 divisors (see below), whose sum is σ = 3552522624. Its totient is φ = 278855680.

The previous prime is 1068554393. The next prime is 1068554411. The reversal of 1068554400 is 44558601.

1068554400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1068554400² = 2283617011518720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108064 + ... + 117536.

It is an arithmetic number, because the mean of its divisors is an integer number (24670296).

Almost surely, 2^1068554400 is an apocalyptic number.

1068554400 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 1068554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776261312).

1068554400 is an abundant number, since it is smaller than the sum of its proper divisors (2483968224).

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

1068554400 is a wasteful number, since it uses less digits than its factorization.

1068554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1068554400 is about 32688.7503584949. The cubic root of 1068554400 is about 1022.3482995793.

The spelling of 1068554400 in words is "one billion, sixty-eight million, five hundred fifty-four thousand, four hundred".