1096368000 has 512 divisors, whose sum is σ = 4491002880. Its totient is φ = 230400000.

The previous prime is 1096367983. The next prime is 1096368023. The reversal of 1096368000 is 8636901.

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 63 ways as a sum of consecutive naturals, for example, 4367875 + ... + 4368125.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^1096368000 is an apocalyptic number.

1096368000 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 1096368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1096368000 is an abundant number, since it is smaller than the sum of its proper divisors (3394634880).

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

1096368000 is a wasteful number, since it uses less digits than its factorization.

1096368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1096368000 is about 33111.4481712896. The cubic root of 1096368000 is about 1031.1427289706.

The spelling of 1096368000 in words is "one billion, ninety-six million, three hundred sixty-eight thousand".