1068148800 has 126 divisors (see below), whose sum is σ = 3796504218. Its totient is φ = 284835840.

The previous prime is 1068148751. The next prime is 1068148801. The reversal of 1068148800 is 88418601.

It can be written as a sum of positive squares in 3 ways, for example, as 35426304 + 1032722496 = 5952^2 + 32136^2 .

It is a super-2 number, since 2×1068148800² = 2281883717882880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1068148801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22689 + ... + 51488.

Almost surely, 2^1068148800 is an apocalyptic number.

1068148800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068148800 is an abundant number, since it is smaller than the sum of its proper divisors (2728355418).

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

1068148800 is a wasteful number, since it uses less digits than its factorization.

1068148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74205 (or 74187 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1068148800 is about 32682.5458004728. The cubic root of 1068148800 is about 1022.2189294860.

The spelling of 1068148800 in words is "one billion, sixty-eight million, one hundred forty-eight thousand, eight hundred".