1068249600 has 480 divisors, whose sum is σ = 4292671680. Its totient is φ = 258048000.

The previous prime is 1068249583. The next prime is 1068249617. The reversal of 1068249600 is 69428601.

1068249600 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 2 + 49 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1068249583) and next prime (1068249617).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1068249600² = 2282314415800320000, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801460 + ... + 3801740.

It is an arithmetic number, because the mean of its divisors is an integer number (8943066).

Almost surely, 2^1068249600 is an apocalyptic number.

1068249600 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 1068249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146335840).

1068249600 is an abundant number, since it is smaller than the sum of its proper divisors (3224422080).

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

1068249600 is a wasteful number, since it uses less digits than its factorization.

1068249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1068249600 is about 32684.0878716234. The cubic root of 1068249600 is about 1022.2510836912.

The spelling of 1068249600 in words is "one billion, sixty-eight million, two hundred forty-nine thousand, six hundred".