1096416000 has 504 divisors, whose sum is σ = 4182220224. Its totient is φ = 286156800.

The previous prime is 1096415993. The next prime is 1096416023. The reversal of 1096416000 is 6146901.

1096416000 is a `hidden beast` number, since 10 + 9 + 6 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 23327977 + ... + 23328023.

It is an arithmetic number, because the mean of its divisors is an integer number (8298056).

Almost surely, 2^1096416000 is an apocalyptic number.

1096416000 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 1096416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091110112).

1096416000 is an abundant number, since it is smaller than the sum of its proper divisors (3085804224).

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

1096416000 is an frugal number, since it uses more digits than its factorization.

1096416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1096416000 is about 33112.1729881927. The cubic root of 1096416000 is about 1031.1577768768.

The spelling of 1096416000 in words is "one billion, ninety-six million, four hundred sixteen thousand".