1088894400 has 336 divisors, whose sum is σ = 4000243968. Its totient is φ = 257024000.

The previous prime is 1088894399. The next prime is 1088894431. The reversal of 1088894400 is 44988801.

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, 2164549 + ... + 2165051.

It is an arithmetic number, because the mean of its divisors is an integer number (11905488).

Almost surely, 2^1088894400 is an apocalyptic number.

1088894400 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 1088894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000121984).

1088894400 is an abundant number, since it is smaller than the sum of its proper divisors (2911349568).

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

1088894400 is a wasteful number, since it uses less digits than its factorization.

1088894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1088894400 is about 32998.3999612102. The cubic root of 1088894400 is about 1028.7943917001.

The spelling of 1088894400 in words is "one billion, eighty-eight million, eight hundred ninety-four thousand, four hundred".